Atkin-Lehner |
2+ 3+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36408b |
Isogeny class |
Conductor |
36408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
993162691152 = 24 · 36 · 373 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 -4 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16515,821016] |
[a1,a2,a3,a4,a6] |
j |
31136210898774016/62072668197 |
j-invariant |
L |
1.7595398136682 |
L(r)(E,1)/r! |
Ω |
0.87976990683522 |
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 |
72816c1 109224g1 |
Quadratic twists by: -4 -3 |