Atkin-Lehner |
2- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15980b |
Isogeny class |
Conductor |
15980 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
434656000 = 28 · 53 · 172 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 1 5 -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340,2312] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-170:1] |
Generators of the group modulo torsion |
j |
17029316176/1697875 |
j-invariant |
L |
4.7058146011387 |
L(r)(E,1)/r! |
Ω |
1.6262240537732 |
Real period |
R |
0.16076145467232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63920l1 79900a1 |
Quadratic twists by: -4 5 |