Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fn |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
2.1610610841587E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31568560,64512889792] |
[a1,a2,a3,a4,a6] |
Generators |
[459716:29211105:64] |
Generators of the group modulo torsion |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
6.6917835675078 |
L(r)(E,1)/r! |
Ω |
0.098083844159568 |
Real period |
R |
8.5281419410102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170ce1 2640u1 |
Quadratic twists by: -4 -7 |