Atkin-Lehner |
3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725o |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1125455765625 = 34 · 56 · 232 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70726,-7245277] |
[a1,a2,a3,a4,a6] |
Generators |
[1971856:33363341:4096] |
Generators of the group modulo torsion |
j |
2503987457522257/72029169 |
j-invariant |
L |
10.59011866506 |
L(r)(E,1)/r! |
Ω |
0.29275631077396 |
Real period |
R |
9.0434589079785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989771 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2829e2 |
Quadratic twists by: 5 |