Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840u |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-177520529920000000 = -1 · 215 · 57 · 375 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 1 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,123615,-11408225] |
[a1,a2,a3,a4,a6] |
Generators |
[1415:-54760:1] |
Generators of the group modulo torsion |
j |
6375052761771448/5417496640625 |
j-invariant |
L |
2.6391569542074 |
L(r)(E,1)/r! |
Ω |
0.17699774593702 |
Real period |
R |
0.10650486536811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840t1 5920j1 106560cc1 59200n1 |
Quadratic twists by: -4 8 -3 5 |