Atkin-Lehner |
5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6845c |
Isogeny class |
Conductor |
6845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-87811986348025 = -1 · 52 · 378 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2025,-449318] |
[a1,a2,a3,a4,a6] |
j |
357911/34225 |
j-invariant |
L |
0.57432961108214 |
L(r)(E,1)/r! |
Ω |
0.28716480554107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109520x2 61605e2 34225d2 185c2 |
Quadratic twists by: -4 -3 5 37 |