Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600m |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
76876800 |
Modular degree for the optimal curve |
Δ |
-2.3103216499502E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1350993408,-20464685494812] |
[a1,a2,a3,a4,a6] |
Generators |
[76368:17937450:1] |
Generators of the group modulo torsion |
j |
-17043681884495578064985316/1443951031218905390625 |
j-invariant |
L |
7.8574173917395 |
L(r)(E,1)/r! |
Ω |
0.012391055523868 |
Real period |
R |
2.4389234644987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800h1 24720a1 |
Quadratic twists by: -4 5 |