Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673s |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13977600 |
Modular degree for the optimal curve |
Δ |
-9.8840912064222E+21 |
Discriminant |
Eigenvalues |
-2 3- 3 -2 5 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2061291,4917047998] |
[a1,a2,a3,a4,a6] |
Generators |
[108808:35888413:1] |
Generators of the group modulo torsion |
j |
-2233706549248/22794035931 |
j-invariant |
L |
4.8013155571033 |
L(r)(E,1)/r! |
Ω |
0.10999254565194 |
Real period |
R |
5.4564098554169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000057518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891c1 4437i1 |
Quadratic twists by: -3 29 |