Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336p |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
312907426430976 = 228 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 -1 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51329,4411521] |
[a1,a2,a3,a4,a6] |
j |
57053285789473/1193647104 |
j-invariant |
L |
2.1752575593179 |
L(r)(E,1)/r! |
Ω |
0.54381441709523 |
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 |
102336co1 3198f1 |
Quadratic twists by: -4 8 |