Atkin-Lehner |
2- 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954t |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-84377137152 = -1 · 212 · 3 · 7 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2552,50489] |
[a1,a2,a3,a4,a6] |
Generators |
[41:109:1] |
Generators of the group modulo torsion |
j |
-1838130572057473/84377137152 |
j-invariant |
L |
8.0968607404374 |
L(r)(E,1)/r! |
Ω |
1.0685555151227 |
Real period |
R |
2.525796312825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92862i1 |
Quadratic twists by: -3 |