Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786ca |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
982981768108032 = 211 · 32 · 78 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5887939,5496664865] |
[a1,a2,a3,a4,a6] |
Generators |
[-2801:6202:1] [1399:-798:1] |
Generators of the group modulo torsion |
j |
191878088180243526433/8355207168 |
j-invariant |
L |
12.494616322892 |
L(r)(E,1)/r! |
Ω |
0.36800106911417 |
Real period |
R |
0.77165143422728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398be2 |
Quadratic twists by: -7 |