Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270k |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
9833062400000 = 216 · 55 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7038,-170512] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:260:1] |
Generators of the group modulo torsion |
j |
5619814620139/1433600000 |
j-invariant |
L |
2.424053495296 |
L(r)(E,1)/r! |
Ω |
0.53105187364886 |
Real period |
R |
0.9129253150508 |
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 |
126350ce1 25270y1 |
Quadratic twists by: 5 -19 |