Atkin-Lehner |
3- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61275n |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
685095669140625 = 33 · 58 · 19 · 434 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1710963,861264792] |
[a1,a2,a3,a4,a6] |
j |
35450760458736972649/43846122825 |
j-invariant |
L |
2.5854836168927 |
L(r)(E,1)/r! |
Ω |
0.43091393544928 |
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 |
12255a3 |
Quadratic twists by: 5 |