Atkin-Lehner |
2- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896j |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
350720 |
Modular degree for the optimal curve |
Δ |
-1147675848704 = -1 · 212 · 74 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 3 3 7+ 11+ 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2896,79088] |
[a1,a2,a3,a4,a6] |
Generators |
[63222:1064917:216] |
Generators of the group modulo torsion |
j |
-655781916672/280194299 |
j-invariant |
L |
16.419816289945 |
L(r)(E,1)/r! |
Ω |
0.813087423441 |
Real period |
R |
5.0486011138769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7931b1 |
Quadratic twists by: -4 |