Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95304a |
Isogeny class |
Conductor |
95304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
15495531181599744 = 210 · 34 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98312,10275036] |
[a1,a2,a3,a4,a6] |
Generators |
[17:2934:1] [602:12996:1] |
Generators of the group modulo torsion |
j |
6042532/891 |
j-invariant |
L |
8.2941655986033 |
L(r)(E,1)/r! |
Ω |
0.37701659883703 |
Real period |
R |
1.8332892204151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95304x1 |
Quadratic twists by: -19 |