Atkin-Lehner |
2+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736f |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
25467631616 = 211 · 72 · 193 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- -5 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-736,-684] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:-76:1] [-2:28:1] |
Generators of the group modulo torsion |
j |
21558430658/12435367 |
j-invariant |
L |
6.639301285628 |
L(r)(E,1)/r! |
Ω |
0.99935393603921 |
Real period |
R |
0.27681639466795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39368f1 |
Quadratic twists by: -4 |