Atkin-Lehner |
2+ 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950w |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
718080 |
Modular degree for the optimal curve |
Δ |
-5629676301562500 = -1 · 22 · 311 · 58 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-106701,13883548] |
[a1,a2,a3,a4,a6] |
Generators |
[-373:1536:1] [977:28536:1] |
Generators of the group modulo torsion |
j |
-343924643236585/14411971332 |
j-invariant |
L |
9.0882315775119 |
L(r)(E,1)/r! |
Ω |
0.42402008020756 |
Real period |
R |
0.16237494976642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950bi1 |
Quadratic twists by: 5 |