Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
30246d |
Isogeny class |
Conductor |
30246 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1236940416 = -1 · 27 · 33 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -3 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,250,-637] |
[a1,a2,a3,a4,a6] |
Generators |
[41:263:1] |
Generators of the group modulo torsion |
j |
4826809/3456 |
j-invariant |
L |
7.1994812603297 |
L(r)(E,1)/r! |
Ω |
0.86334195847595 |
Real period |
R |
0.59564886937722 |
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 |
90738k1 30246c1 |
Quadratic twists by: -3 -71 |