Atkin-Lehner |
2+ 5+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
88450b |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
4422500000 = 25 · 57 · 29 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -2 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3692,87216] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-57:1] [-61:318:1] |
Generators of the group modulo torsion |
j |
356250045969/283040 |
j-invariant |
L |
7.1688683817643 |
L(r)(E,1)/r! |
Ω |
1.3691154968874 |
Real period |
R |
1.3090328022055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17690f1 |
Quadratic twists by: 5 |