Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450de |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
58931712000 = 212 · 34 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11883,497457] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:849:1] |
Generators of the group modulo torsion |
j |
1484548104174533/471453696 |
j-invariant |
L |
10.614621998493 |
L(r)(E,1)/r! |
Ω |
1.0889179566976 |
Real period |
R |
0.2030804588553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350ct1 30450n1 |
Quadratic twists by: -3 5 |