Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24080d |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1396270131200 = -1 · 211 · 52 · 73 · 433 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 5 -2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7027,233746] |
[a1,a2,a3,a4,a6] |
Generators |
[7:430:1] |
Generators of the group modulo torsion |
j |
-18737153748882/681772525 |
j-invariant |
L |
3.3275061965217 |
L(r)(E,1)/r! |
Ω |
0.84865329763194 |
Real period |
R |
0.32674377607113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12040c1 96320bj1 120400g1 |
Quadratic twists by: -4 8 5 |