Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312v |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-68766589688832 = -1 · 210 · 39 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,203742] |
[a1,a2,a3,a4,a6] |
Generators |
[2982:43316:27] |
Generators of the group modulo torsion |
j |
37044/29 |
j-invariant |
L |
8.6454699952163 |
L(r)(E,1)/r! |
Ω |
0.39662761118752 |
Real period |
R |
5.4493621616263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102312f1 2088h1 |
Quadratic twists by: -3 -7 |