Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290by |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
1219821120 = 26 · 38 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,-3463] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:16:1] |
Generators of the group modulo torsion |
j |
16022066761/1673280 |
j-invariant |
L |
6.7562509476046 |
L(r)(E,1)/r! |
Ω |
1.0308075449087 |
Real period |
R |
1.0923880312676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430p1 |
Quadratic twists by: -3 |