Atkin-Lehner |
5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24805b |
Isogeny class |
Conductor |
24805 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
15503125 = 55 · 112 · 41 |
Discriminant |
Eigenvalues |
0 1 5- -3 11- 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-425,3229] |
[a1,a2,a3,a4,a6] |
Generators |
[11:2:1] |
Generators of the group modulo torsion |
j |
70327730176/128125 |
j-invariant |
L |
4.766940057729 |
L(r)(E,1)/r! |
Ω |
2.2112073050355 |
Real period |
R |
0.43116175013291 |
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 |
124025c1 24805f1 |
Quadratic twists by: 5 -11 |