Atkin-Lehner |
2- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15980a |
Isogeny class |
Conductor |
15980 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
434656000 = 28 · 53 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -1 3 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43060,3424900] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1030:1] |
Generators of the group modulo torsion |
j |
34491803958987856/1697875 |
j-invariant |
L |
6.2407436471626 |
L(r)(E,1)/r! |
Ω |
1.2519369046614 |
Real period |
R |
2.4924353711141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63920k1 79900b1 |
Quadratic twists by: -4 5 |