Atkin-Lehner |
2+ 5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22610d |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
837760 |
Modular degree for the optimal curve |
Δ |
-129090514355468750 = -1 · 2 · 511 · 72 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5564024,-5052123428] |
[a1,a2,a3,a4,a6] |
j |
-19049807163862446410525689/129090514355468750 |
j-invariant |
L |
0.49149843931771 |
L(r)(E,1)/r! |
Ω |
0.049149843931767 |
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 |
113050bv1 |
Quadratic twists by: 5 |