Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832l |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-10794707057904 = -1 · 24 · 3 · 7 · 113 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4984,79887] |
[a1,a2,a3,a4,a6] |
Generators |
[2495:54043:125] |
Generators of the group modulo torsion |
j |
855560429401856/674669191119 |
j-invariant |
L |
5.1770337016504 |
L(r)(E,1)/r! |
Ω |
0.4632089201764 |
Real period |
R |
1.862742517899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31416e1 |
Quadratic twists by: -4 |