Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992eb |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1301916672 = -1 · 210 · 33 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,-9928] |
[a1,a2,a3,a4,a6] |
j |
-2579890176/47089 |
j-invariant |
L |
1.759264214732 |
L(r)(E,1)/r! |
Ω |
0.43981588600262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992e1 31248be1 124992ec1 |
Quadratic twists by: -4 8 -3 |