Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
87100m |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60192 |
Modular degree for the optimal curve |
Δ |
373484800 = 28 · 52 · 13 · 672 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6973,226457] |
[a1,a2,a3,a4,a6] |
Generators |
[394:67:8] |
Generators of the group modulo torsion |
j |
5859560120320/58357 |
j-invariant |
L |
4.2214948018058 |
L(r)(E,1)/r! |
Ω |
1.5320097497419 |
Real period |
R |
1.3777636869468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87100s1 |
Quadratic twists by: 5 |