Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12300q |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-110700000000 = -1 · 28 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8333,290463] |
[a1,a2,a3,a4,a6] |
Generators |
[58:75:1] |
Generators of the group modulo torsion |
j |
-640000000/1107 |
j-invariant |
L |
5.2024023552 |
L(r)(E,1)/r! |
Ω |
1.0551238323505 |
Real period |
R |
0.54784536981373 |
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 |
49200cp1 36900q1 12300f1 |
Quadratic twists by: -4 -3 5 |