Atkin-Lehner |
2+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98600h |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
486098000 = 24 · 53 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-530,-4575] |
[a1,a2,a3,a4,a6] |
Generators |
[101:986:1] |
Generators of the group modulo torsion |
j |
8232302592/243049 |
j-invariant |
L |
6.5308818982781 |
L(r)(E,1)/r! |
Ω |
0.99681532123273 |
Real period |
R |
1.6379367743973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98600q1 |
Quadratic twists by: 5 |