Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925q |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
15490778509765625 = 59 · 118 · 37 |
Discriminant |
Eigenvalues |
-1 2 5+ -4 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-302563,-63903344] |
[a1,a2,a3,a4,a6] |
Generators |
[18030:144634:27] |
Generators of the group modulo torsion |
j |
110661134401/559625 |
j-invariant |
L |
3.0465728421177 |
L(r)(E,1)/r! |
Ω |
0.20362345074675 |
Real period |
R |
7.4808987570107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22385k1 10175e1 |
Quadratic twists by: 5 -11 |