Atkin-Lehner |
2- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314v |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
-672120420235952128 = -1 · 214 · 76 · 17 · 295 |
Discriminant |
Eigenvalues |
2- 2 0 7- -4 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,169882,28871779] |
[a1,a2,a3,a4,a6] |
Generators |
[1121:39807:1] |
Generators of the group modulo torsion |
j |
4608689059523375/5712929308672 |
j-invariant |
L |
13.087050457575 |
L(r)(E,1)/r! |
Ω |
0.19242201119197 |
Real period |
R |
0.97160331357942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986e1 |
Quadratic twists by: -7 |