Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850l |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-103318875000 = -1 · 23 · 33 · 56 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-867,18541] |
[a1,a2,a3,a4,a6] |
Generators |
[59:383:1] |
Generators of the group modulo torsion |
j |
-170953875/244904 |
j-invariant |
L |
5.7558598133579 |
L(r)(E,1)/r! |
Ω |
0.95485900365614 |
Real period |
R |
0.5023306980008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998884105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850dd2 4554u1 |
Quadratic twists by: -3 5 |