Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fe |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-27299575800000 = -1 · 26 · 34 · 55 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7429,47121] |
[a1,a2,a3,a4,a6] |
Generators |
[80:1071:1] |
Generators of the group modulo torsion |
j |
708396411497984/426555871875 |
j-invariant |
L |
4.8161744574415 |
L(r)(E,1)/r! |
Ω |
0.40877295020822 |
Real period |
R |
1.9636713775463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240jd1 57120ch1 |
Quadratic twists by: -4 8 |