Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850cc |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-887400181800 = -1 · 23 · 313 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2268,17496] |
[a1,a2,a3,a4,a6] |
j |
70774630295/48691368 |
j-invariant |
L |
2.2393744000633 |
L(r)(E,1)/r! |
Ω |
0.55984353438558 |
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 |
37950cq1 113850fz1 |
Quadratic twists by: -3 5 |