Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536o |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-1861403580813312 = -1 · 212 · 319 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-625217,-190083567] |
[a1,a2,a3,a4,a6] |
Generators |
[4676706158335551786877:-217643773073093179564912:1906361082486094807] |
Generators of the group modulo torsion |
j |
-6598675828987167808/454444233597 |
j-invariant |
L |
6.0007024945175 |
L(r)(E,1)/r! |
Ω |
0.084890679933664 |
Real period |
R |
35.343706159537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536x1 75072cw1 112608p1 |
Quadratic twists by: -4 8 -3 |