Atkin-Lehner |
2+ 7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
95942b |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
64293488119168 = 27 · 78 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 1 4 7+ 11+ -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11884,-316886] |
[a1,a2,a3,a4,a6] |
j |
32193988729/11152768 |
j-invariant |
L |
2.8212141926664 |
L(r)(E,1)/r! |
Ω |
0.4702023765683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942k1 |
Quadratic twists by: -7 |