Atkin-Lehner |
2+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450d |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-98993125000 = -1 · 23 · 57 · 7 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-275,15125] |
[a1,a2,a3,a4,a6] |
Generators |
[55:385:1] |
Generators of the group modulo torsion |
j |
-148035889/6335560 |
j-invariant |
L |
7.0360942348017 |
L(r)(E,1)/r! |
Ω |
0.8846097321909 |
Real period |
R |
0.66282470662618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090m1 |
Quadratic twists by: 5 |