Atkin-Lehner |
2- 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124020c |
Isogeny class |
Conductor |
124020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-57501128880 = -1 · 24 · 39 · 5 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,11529] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:37:1] |
Generators of the group modulo torsion |
j |
442368/182585 |
j-invariant |
L |
8.2235697802114 |
L(r)(E,1)/r! |
Ω |
0.86575386222396 |
Real period |
R |
3.1662462469066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124020a1 |
Quadratic twists by: -3 |