Atkin-Lehner |
2- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92512g |
Isogeny class |
Conductor |
92512 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-9066176 = -1 · 26 · 74 · 59 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ 2 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] [0:14:1] |
Generators of the group modulo torsion |
j |
-84672/59 |
j-invariant |
L |
5.4201547553755 |
L(r)(E,1)/r! |
Ω |
2.1298617002951 |
Real period |
R |
0.42413980479955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92512c1 92512k1 |
Quadratic twists by: -4 -7 |