Atkin-Lehner |
7- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110593a |
Isogeny class |
Conductor |
110593 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-5555763550939 = -1 · 79 · 37 · 612 |
Discriminant |
Eigenvalues |
0 2 -1 7- -3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21331,1211615] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1543:1] [195:2104:1] |
Generators of the group modulo torsion |
j |
-9124088283136/47223211 |
j-invariant |
L |
12.238450888437 |
L(r)(E,1)/r! |
Ω |
0.76526759339597 |
Real period |
R |
1.9990476202719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15799c1 |
Quadratic twists by: -7 |