Atkin-Lehner |
2- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874v |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-286278776 = -1 · 23 · 73 · 172 · 192 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,113,717] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] |
Generators of the group modulo torsion |
j |
551849903/990584 |
j-invariant |
L |
4.979100095085 |
L(r)(E,1)/r! |
Ω |
1.1900358733966 |
Real period |
R |
0.6973319331451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76874bj1 |
Quadratic twists by: 17 |