Atkin-Lehner |
2+ 5- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bc |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-452207461300000000 = -1 · 28 · 58 · 77 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -2 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1620950,794316500] |
[a1,a2,a3,a4,a6] |
j |
-1205793538713855625/1157651100928 |
j-invariant |
L |
1.1802670921712 |
L(r)(E,1)/r! |
Ω |
0.29506690299398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cg1 |
Quadratic twists by: 5 |