Atkin-Lehner |
2- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10948b |
Isogeny class |
Conductor |
10948 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-135080759408 = -1 · 24 · 74 · 172 · 233 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -4 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-694,19265] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:4267:27] [-13:161:1] |
Generators of the group modulo torsion |
j |
-2313703881472/8442547463 |
j-invariant |
L |
4.847542106527 |
L(r)(E,1)/r! |
Ω |
0.90759106198133 |
Real period |
R |
0.074182058993385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43792e1 98532q1 76636f1 |
Quadratic twists by: -4 -3 -7 |