Atkin-Lehner |
3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225z |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1436160 |
Modular degree for the optimal curve |
Δ |
1531683198017578125 = 311 · 510 · 134 · 31 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 -5 13- -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-780208,-258745631] |
[a1,a2,a3,a4,a6] |
j |
5378428787200000/156844359477 |
j-invariant |
L |
7.0806626206182 |
L(r)(E,1)/r! |
Ω |
0.1609241504687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675bi1 30225p1 |
Quadratic twists by: -3 5 |