Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270q |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-5231189196800 = -1 · 215 · 52 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8491,319921] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:707:1] |
Generators of the group modulo torsion |
j |
-519504157729/40140800 |
j-invariant |
L |
9.0970750758292 |
L(r)(E,1)/r! |
Ω |
0.75047442991838 |
Real period |
R |
0.60608827650653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126350e1 25270f1 |
Quadratic twists by: 5 -19 |