Atkin-Lehner |
2+ 3+ 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238a |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
6825099460608 = 216 · 39 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11+ 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5280,78848] |
[a1,a2,a3,a4,a6] |
j |
827142723603/346750976 |
j-invariant |
L |
2.7067097024925 |
L(r)(E,1)/r! |
Ω |
0.67667736354478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238bw1 |
Quadratic twists by: -3 |