Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95220d |
Isogeny class |
Conductor |
95220 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
574564294181250000 = 24 · 33 · 58 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342792,-68098699] |
[a1,a2,a3,a4,a6] |
j |
69657034752/8984375 |
j-invariant |
L |
3.183733658963 |
L(r)(E,1)/r! |
Ω |
0.19898334831366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95220a1 4140a1 |
Quadratic twists by: -3 -23 |