Atkin-Lehner |
2+ 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350u |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1253085937500 = -1 · 22 · 3 · 510 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7026,-233552] |
[a1,a2,a3,a4,a6] |
j |
-2454365649169/80197500 |
j-invariant |
L |
4.16375861148 |
L(r)(E,1)/r! |
Ω |
0.2602349150304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870o1 |
Quadratic twists by: 5 |