Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dw |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
188416 |
Modular degree for the optimal curve |
Δ |
-63793916928 = -1 · 210 · 33 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6072,182520] |
[a1,a2,a3,a4,a6] |
Generators |
[34:124:1] |
Generators of the group modulo torsion |
j |
-895478740992/2307361 |
j-invariant |
L |
5.0647043587905 |
L(r)(E,1)/r! |
Ω |
1.1077185087608 |
Real period |
R |
1.1430486231026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997904972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992t1 31248c1 124992dv1 |
Quadratic twists by: -4 8 -3 |