Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225m |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-1.9245659463298E+23 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 1 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34536675,-80922327469] |
[a1,a2,a3,a4,a6] |
Generators |
[55410:881471:8] |
Generators of the group modulo torsion |
j |
-10798949077834033410048/456193409500390625 |
j-invariant |
L |
11.707621360314 |
L(r)(E,1)/r! |
Ω |
0.031061823506959 |
Real period |
R |
4.4870657620736 |
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 |
36225h1 7245g1 |
Quadratic twists by: -3 5 |