Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8880c |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-4134770837452800 = -1 · 211 · 313 · 52 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122960,16922592] |
[a1,a2,a3,a4,a6] |
j |
-100389630395083682/2018931072975 |
j-invariant |
L |
1.7555374570937 |
L(r)(E,1)/r! |
Ω |
0.43888436427342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4440i1 35520cr1 26640f1 44400q1 |
Quadratic twists by: -4 8 -3 5 |