Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24700o |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
122018000 = 24 · 53 · 132 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313,-2172] |
[a1,a2,a3,a4,a6] |
Generators |
[64:494:1] |
Generators of the group modulo torsion |
j |
1701036032/61009 |
j-invariant |
L |
3.5390994936702 |
L(r)(E,1)/r! |
Ω |
1.1372461006253 |
Real period |
R |
1.5559954400918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98800cq1 24700q1 |
Quadratic twists by: -4 5 |