Atkin-Lehner |
2+ 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390j |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-3763462500 = -1 · 22 · 36 · 55 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,277,2378] |
[a1,a2,a3,a4,a6] |
Generators |
[9:70:1] |
Generators of the group modulo torsion |
j |
2362734140759/3763462500 |
j-invariant |
L |
4.1255947908751 |
L(r)(E,1)/r! |
Ω |
0.95330155948031 |
Real period |
R |
0.072128187033216 |
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 |
99120cc1 37170ba1 61950bo1 86730h1 |
Quadratic twists by: -4 -3 5 -7 |