Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400o |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-3918569200 = -1 · 24 · 52 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -3 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8528,300313] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-13:1] |
Generators of the group modulo torsion |
j |
-499990900480/28561 |
j-invariant |
L |
4.8997518966189 |
L(r)(E,1)/r! |
Ω |
1.3187083334132 |
Real period |
R |
0.23222306567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400cc1 127400e1 |
Quadratic twists by: 5 -7 |