Atkin-Lehner |
3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43725g |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-121746796875 = -1 · 35 · 57 · 112 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 11- -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,967,11843] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-138:1] |
Generators of the group modulo torsion |
j |
6393430016/7791795 |
j-invariant |
L |
2.5870695764849 |
L(r)(E,1)/r! |
Ω |
0.70071668090855 |
Real period |
R |
0.9230084165846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8745h1 |
Quadratic twists by: 5 |