Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
87100b |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59616 |
Modular degree for the optimal curve |
Δ |
63118931200 = 28 · 52 · 133 · 672 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173,-9263] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:67:1] [-17:74:1] |
Generators of the group modulo torsion |
j |
27913093120/9862333 |
j-invariant |
L |
7.9533432107651 |
L(r)(E,1)/r! |
Ω |
0.83948263373693 |
Real period |
R |
1.5790168235958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87100w1 |
Quadratic twists by: 5 |