Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775w |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-663942940171875 = -1 · 34 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -2 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32258,-2540707] |
[a1,a2,a3,a4,a6] |
Generators |
[2044381190:25874908699:6859000] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
9.4918896677907 |
L(r)(E,1)/r! |
Ω |
0.17640115412809 |
Real period |
R |
13.452136572866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1911g1 6825i1 |
Quadratic twists by: 5 -7 |