Atkin-Lehner |
2+ 3- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238r |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-21252759858076032 = -1 · 27 · 322 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 11+ 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63450,-3385292] |
[a1,a2,a3,a4,a6] |
j |
38751383561335199/29153305703808 |
j-invariant |
L |
3.8529221599381 |
L(r)(E,1)/r! |
Ω |
0.21405122605614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31746bb1 |
Quadratic twists by: -3 |