Atkin-Lehner |
2- 5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650q |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
379551744 |
Modular degree for the optimal curve |
Δ |
-2.6627511841816E+32 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6285903912,761305244880281] |
[a1,a2,a3,a4,a6] |
Generators |
[92494587:171196845131:27] |
Generators of the group modulo torsion |
j |
1757951544109130143199186837831/17041607578762156896980320000 |
j-invariant |
L |
15.165413006018 |
L(r)(E,1)/r! |
Ω |
0.012801506117251 |
Real period |
R |
12.340192647563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22330a1 |
Quadratic twists by: 5 |