Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gi |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
190908072284160 = 212 · 3 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51221,4395075] |
[a1,a2,a3,a4,a6] |
Generators |
[-19695354:339070689:117649] |
Generators of the group modulo torsion |
j |
12845056/165 |
j-invariant |
L |
7.7247480959808 |
L(r)(E,1)/r! |
Ω |
0.56879849457307 |
Real period |
R |
13.580816661768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085b1 129360ep1 |
Quadratic twists by: -4 -7 |