Atkin-Lehner |
2+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7942d |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-886034271592448 = -1 · 213 · 112 · 197 |
Discriminant |
Eigenvalues |
2+ 1 -2 -3 11+ -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23818,223624] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:184:1] [106:1932:1] |
Generators of the group modulo torsion |
j |
31764658463/18833408 |
j-invariant |
L |
4.1747734310784 |
L(r)(E,1)/r! |
Ω |
0.30410154005194 |
Real period |
R |
1.7160277412469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63536bo1 71478cr1 87362bl1 418b1 |
Quadratic twists by: -4 -3 -11 -19 |