Atkin-Lehner |
2+ 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878d |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-15492708 = -1 · 22 · 37 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,553] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-19:1] [-7:35:1] |
Generators of the group modulo torsion |
j |
-244140625/21252 |
j-invariant |
L |
6.2459115059497 |
L(r)(E,1)/r! |
Ω |
2.1625149029755 |
Real period |
R |
0.36103285908893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626m1 |
Quadratic twists by: -3 |