Atkin-Lehner |
2- 3+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306o |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-188256817753632 = -1 · 25 · 35 · 177 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 4 1 2 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11554,460091] |
[a1,a2,a3,a4,a6] |
j |
7066834559/7799328 |
j-invariant |
L |
7.5416381708778 |
L(r)(E,1)/r! |
Ω |
0.37708191239367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018j1 |
Quadratic twists by: 17 |