Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856j |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-47244177701517312 = -1 · 211 · 35 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 -3 5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-274256,-56170932] |
[a1,a2,a3,a4,a6] |
j |
-434163602/8991 |
j-invariant |
L |
1.8752976641001 |
L(r)(E,1)/r! |
Ω |
0.10418320356121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712k1 98568k1 888a1 |
Quadratic twists by: -4 -3 37 |