Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cc |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-3630409446552768 = -1 · 26 · 37 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9761,-2871805] |
[a1,a2,a3,a4,a6] |
Generators |
[122:387:1] |
Generators of the group modulo torsion |
j |
61952/2187 |
j-invariant |
L |
5.792709823393 |
L(r)(E,1)/r! |
Ω |
0.21345352464692 |
Real period |
R |
3.8768625448528 |
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 |
23232s1 11616c1 69696cf1 23232cd1 |
Quadratic twists by: -4 8 -3 -11 |