Atkin-Lehner |
2- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874u |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
4.9628449472205E+22 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10352179,-7031442029] |
[a1,a2,a3,a4,a6] |
Generators |
[-1957:76674:1] |
Generators of the group modulo torsion |
j |
5083062654573191457/2056066601910272 |
j-invariant |
L |
9.8528841646959 |
L(r)(E,1)/r! |
Ω |
0.087182563463937 |
Real period |
R |
3.5316996640187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001717 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4522j1 |
Quadratic twists by: 17 |