Atkin-Lehner |
2- 5- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
23690h |
Isogeny class |
Conductor |
23690 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-1362175000 = -1 · 23 · 55 · 232 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -5 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7090,-232745] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1643:1] |
Generators of the group modulo torsion |
j |
-39415427934896161/1362175000 |
j-invariant |
L |
10.891240210908 |
L(r)(E,1)/r! |
Ω |
0.26013978721203 |
Real period |
R |
1.3955625329535 |
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 |
118450a1 |
Quadratic twists by: 5 |