Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200df |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
275653125000000 = 26 · 36 · 511 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-938325,349846000] |
[a1,a2,a3,a4,a6] |
Generators |
[335:8550:1] |
Generators of the group modulo torsion |
j |
125330290485184/378125 |
j-invariant |
L |
5.5997541758071 |
L(r)(E,1)/r! |
Ω |
0.47896978610523 |
Real period |
R |
2.9228118020084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200dw1 8800h1 15840b1 |
Quadratic twists by: -4 -3 5 |