Atkin-Lehner |
5+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129115i |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3763584 |
Modular degree for the optimal curve |
Δ |
-1.3416003300572E+20 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 1 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5757011,5345365010] |
[a1,a2,a3,a4,a6] |
Generators |
[1973:39856:1] |
Generators of the group modulo torsion |
j |
-430644410405883194444161/2737959857259648425 |
j-invariant |
L |
3.9552075498976 |
L(r)(E,1)/r! |
Ω |
0.18561754108648 |
Real period |
R |
0.5918992187808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998930475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129115o1 |
Quadratic twists by: -7 |