Atkin-Lehner |
2- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350s |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
1767500 = 22 · 54 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 1 -4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130,597] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-15:1] |
Generators of the group modulo torsion |
j |
385956225/2828 |
j-invariant |
L |
7.6389678948297 |
L(r)(E,1)/r! |
Ω |
2.6622378591056 |
Real period |
R |
0.47822973873288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35350f1 |
Quadratic twists by: 5 |