Atkin-Lehner |
3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325p |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-424001574434953125 = -1 · 35 · 56 · 135 · 673 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -5 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,180387,10593342] |
[a1,a2,a3,a4,a6] |
Generators |
[207:-7641:1] |
Generators of the group modulo torsion |
j |
41545045924015607/27136100763837 |
j-invariant |
L |
3.4272467720793 |
L(r)(E,1)/r! |
Ω |
0.18657208096762 |
Real period |
R |
0.61231861953367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2613b1 |
Quadratic twists by: 5 |