Atkin-Lehner |
3+ 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
95403a |
Isogeny class |
Conductor |
95403 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-65559778542027 = -1 · 33 · 78 · 112 · 592 |
Discriminant |
Eigenvalues |
0 3+ 2 7+ 11+ 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34757,-2512777] |
[a1,a2,a3,a4,a6] |
Generators |
[523:11049:1] |
Generators of the group modulo torsion |
j |
-805524471808/11372427 |
j-invariant |
L |
5.5613461913539 |
L(r)(E,1)/r! |
Ω |
0.17468005007816 |
Real period |
R |
2.6531107376073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95403j1 |
Quadratic twists by: -7 |