Atkin-Lehner |
3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829g |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
166640570819698437 = 32 · 710 · 116 · 37 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-209402,-31305525] |
[a1,a2,a3,a4,a6] |
Generators |
[-2626:13171:8] [-298:2327:1] |
Generators of the group modulo torsion |
j |
8631398911361689/1416421481013 |
j-invariant |
L |
7.5524042657131 |
L(r)(E,1)/r! |
Ω |
0.22566276458983 |
Real period |
R |
2.788971513697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547e2 |
Quadratic twists by: -7 |