Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925cm |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1085656148325 = 35 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 -6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8248,281194] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:220:1] [2:514:1] |
Generators of the group modulo torsion |
j |
21100564480/369117 |
j-invariant |
L |
7.2985250640237 |
L(r)(E,1)/r! |
Ω |
0.8732279619131 |
Real period |
R |
0.4179049103211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bn1 16275d1 |
Quadratic twists by: 5 -7 |