Atkin-Lehner |
2- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70642p |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
3951360 |
Modular degree for the optimal curve |
Δ |
-2.3872403535049E+21 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3337211,140155357] |
[a1,a2,a3,a4,a6] |
Generators |
[397:38884:1] [595:48036:1] |
Generators of the group modulo torsion |
j |
851558953435614423/494579411264224 |
j-invariant |
L |
11.72158354083 |
L(r)(E,1)/r! |
Ω |
0.087423379601518 |
Real period |
R |
0.4788512929943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434d1 |
Quadratic twists by: 13 |