Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bl |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-39316451328 = -1 · 212 · 38 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,9520] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:96:1] |
Generators of the group modulo torsion |
j |
4657463/9598743 |
j-invariant |
L |
3.8452307266077 |
L(r)(E,1)/r! |
Ω |
0.90183022333363 |
Real period |
R |
2.1319038925633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389i1 |
Quadratic twists by: -4 |