Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360he |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-832102905942000 = -1 · 24 · 38 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6692730,-6666509025] |
[a1,a2,a3,a4,a6] |
Generators |
[3495:112455:1] |
Generators of the group modulo torsion |
j |
-359442469227794176/9021375 |
j-invariant |
L |
9.4195105643162 |
L(r)(E,1)/r! |
Ω |
0.046931963768146 |
Real period |
R |
2.7875785315486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340j1 129360en1 |
Quadratic twists by: -4 -7 |