Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bm |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-2506699248046875 = -1 · 313 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -5 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,31875,-1002344] |
[a1,a2,a3,a4,a6] |
Generators |
[76:1363:1] |
Generators of the group modulo torsion |
j |
503091200/352107 |
j-invariant |
L |
2.2088938808465 |
L(r)(E,1)/r! |
Ω |
0.25822458215732 |
Real period |
R |
4.2770790108235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075e1 36225ch1 |
Quadratic twists by: -3 5 |