Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7070f |
Isogeny class |
Conductor |
7070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
485002000 = 24 · 53 · 74 · 101 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198,197] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:27:1] |
Generators of the group modulo torsion |
j |
854400197169/485002000 |
j-invariant |
L |
5.8462344967023 |
L(r)(E,1)/r! |
Ω |
1.4260908478481 |
Real period |
R |
1.0248706289512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56560f1 63630v1 35350a1 49490p1 |
Quadratic twists by: -4 -3 5 -7 |