Atkin-Lehner |
2+ 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52624c |
Isogeny class |
Conductor |
52624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-19365632 = -1 · 28 · 11 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 0 4 0 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-210] |
[a1,a2,a3,a4,a6] |
Generators |
[234355:3110520:1331] |
Generators of the group modulo torsion |
j |
2122416/75647 |
j-invariant |
L |
8.0648942160827 |
L(r)(E,1)/r! |
Ω |
1.043872298649 |
Real period |
R |
7.7259394913812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26312c1 |
Quadratic twists by: -4 |