Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960j |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-2436750000 = -1 · 24 · 33 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 4 5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342,3401] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:75:1] |
Generators of the group modulo torsion |
j |
-28366848/15625 |
j-invariant |
L |
7.8386835455297 |
L(r)(E,1)/r! |
Ω |
1.3467530581159 |
Real period |
R |
0.24251796523862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129960bo1 129960br1 |
Quadratic twists by: -3 -19 |