Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965d |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-81826171875 = -1 · 32 · 510 · 72 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -1 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-366,-13903] |
[a1,a2,a3,a4,a6] |
Generators |
[17604:290593:64] |
Generators of the group modulo torsion |
j |
-110957572096/1669921875 |
j-invariant |
L |
7.1827700524382 |
L(r)(E,1)/r! |
Ω |
0.46363878130315 |
Real period |
R |
3.8730420869074 |
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 |
41895ca1 69825cb1 13965u1 |
Quadratic twists by: -3 5 -7 |