Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25620c |
Isogeny class |
Conductor |
25620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-1992211200 = -1 · 28 · 36 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-2135] |
[a1,a2,a3,a4,a6] |
Generators |
[43:270:1] [16:27:1] |
Generators of the group modulo torsion |
j |
-99672064/7782075 |
j-invariant |
L |
6.5885797550763 |
L(r)(E,1)/r! |
Ω |
0.65058564017934 |
Real period |
R |
0.84392934460043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480bv1 76860o1 128100p1 |
Quadratic twists by: -4 -3 5 |