Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bz |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-5272435546875 = -1 · 36 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 1 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-77250,-8264844] |
[a1,a2,a3,a4,a6] |
Generators |
[24402:693701:27] |
Generators of the group modulo torsion |
j |
-35806478336/3703 |
j-invariant |
L |
4.3524857022075 |
L(r)(E,1)/r! |
Ω |
0.14318325872658 |
Real period |
R |
7.599501752015 |
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 |
4025f1 36225ci1 |
Quadratic twists by: -3 5 |