Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920bf |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
5401890000 = 24 · 37 · 54 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2298,42253] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:225:1] [17:90:1] |
Generators of the group modulo torsion |
j |
115060504576/463125 |
j-invariant |
L |
9.0628496699534 |
L(r)(E,1)/r! |
Ω |
1.3633515479806 |
Real period |
R |
1.6618695455488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640k1 |
Quadratic twists by: -3 |