Atkin-Lehner |
2+ 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730y |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12083904 |
Modular degree for the optimal curve |
Δ |
3.3733304146446E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31753104,68861256286] |
[a1,a2,a3,a4,a6] |
j |
614183195731557454009/58515990658560 |
j-invariant |
L |
0.98184097727446 |
L(r)(E,1)/r! |
Ω |
0.16364013425354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86730w1 |
Quadratic twists by: -7 |