Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310l |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28902720 |
Modular degree for the optimal curve |
Δ |
-3.9217142836106E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2181394755,-40355091984299] |
[a1,a2,a3,a4,a6] |
Generators |
[6553994206903406455698214423470180355296776269058410480399160591593:8388870095377290168383599991007736578145756740889204150755392246533966:3994071541041125764430668716584607908047219510335539934748673] |
Generators of the group modulo torsion |
j |
-1574704170311588536689715160881/53795806359541618750000000 |
j-invariant |
L |
2.3425800276792 |
L(r)(E,1)/r! |
Ω |
0.011023371550832 |
Real period |
R |
106.25515146962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2590f1 116550ex1 |
Quadratic twists by: -3 5 |