Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080bc |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-708238080 = -1 · 28 · 37 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372,3044] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-18:1] |
Generators of the group modulo torsion |
j |
-30505984/3795 |
j-invariant |
L |
8.468622844588 |
L(r)(E,1)/r! |
Ω |
1.5597693622944 |
Real period |
R |
0.67867588540883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30360t1 |
Quadratic twists by: -3 |