Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925cg |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-13138979150390625 = -1 · 311 · 511 · 72 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,43724,4249823] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:266:1] [-394:11443:8] |
Generators of the group modulo torsion |
j |
12074844345599/17161115625 |
j-invariant |
L |
15.806471083062 |
L(r)(E,1)/r! |
Ω |
0.26965463751917 |
Real period |
R |
1.3322150975344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22785b1 113925a1 |
Quadratic twists by: 5 -7 |