Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640v |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-85584701440 = -1 · 211 · 5 · 74 · 592 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -5 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,16288] |
[a1,a2,a3,a4,a6] |
Generators |
[3:118:1] |
Generators of the group modulo torsion |
j |
-11529602/17405 |
j-invariant |
L |
3.102623972957 |
L(r)(E,1)/r! |
Ω |
0.96832282936839 |
Real period |
R |
1.6020607671365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998170891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640s1 |
Quadratic twists by: -7 |