Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cv |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-56430796608 = -1 · 26 · 33 · 175 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 2 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1104,17802] |
[a1,a2,a3,a4,a6] |
j |
-2327256659008/881731197 |
j-invariant |
L |
3.1474241668829 |
L(r)(E,1)/r! |
Ω |
1.0491413873649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072by1 37536n1 |
Quadratic twists by: -4 8 |