Atkin-Lehner |
2+ 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274z |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
928000 |
Modular degree for the optimal curve |
Δ |
-85651243407072 = -1 · 25 · 311 · 75 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 3 -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82395,-9093627] |
[a1,a2,a3,a4,a6] |
Generators |
[369:3078:1] |
Generators of the group modulo torsion |
j |
-84859745100243121/117491417568 |
j-invariant |
L |
7.3016119490131 |
L(r)(E,1)/r! |
Ω |
0.14088282488049 |
Real period |
R |
5.1827552083439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37758v1 |
Quadratic twists by: -3 |