Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208n |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-20957024816 = -1 · 24 · 72 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 3 -2 7- -1 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14,6965] |
[a1,a2,a3,a4,a6] |
Generators |
[822:5095:27] |
Generators of the group modulo torsion |
j |
387072/26730899 |
j-invariant |
L |
10.878464658647 |
L(r)(E,1)/r! |
Ω |
0.95879628557922 |
Real period |
R |
5.6729801651019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117208k1 |
Quadratic twists by: -7 |