Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cs |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
117126506250000 = 24 · 34 · 58 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55588,-5022208] |
[a1,a2,a3,a4,a6] |
Generators |
[362:4544:1] |
Generators of the group modulo torsion |
j |
1215758517658489/7496096400 |
j-invariant |
L |
14.844261933989 |
L(r)(E,1)/r! |
Ω |
0.31103950230807 |
Real period |
R |
2.9827927447675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430e2 |
Quadratic twists by: 5 |