Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650ch |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1660325759820000 = -1 · 25 · 33 · 54 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50063,4715381] |
[a1,a2,a3,a4,a6] |
Generators |
[95:862:1] |
Generators of the group modulo torsion |
j |
-22202140659489025/2656521215712 |
j-invariant |
L |
6.2893304066892 |
L(r)(E,1)/r! |
Ω |
0.45987185294842 |
Real period |
R |
0.06512508260897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200gw1 40950cp1 13650x1 95550kr1 |
Quadratic twists by: -4 -3 5 -7 |