Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bj |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-4596480 = -1 · 28 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,105] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
-65536/17955 |
j-invariant |
L |
5.2227824884658 |
L(r)(E,1)/r! |
Ω |
1.9906625059458 |
Real period |
R |
1.3118201786757 |
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 |
7980e1 127680fh1 95760dy1 |
Quadratic twists by: -4 8 -3 |