Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
650g |
Isogeny class |
Conductor |
650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
-32500 = -1 · 22 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] |
Generators of the group modulo torsion |
j |
-2941225/52 |
j-invariant |
L |
1.2442250386561 |
L(r)(E,1)/r! |
Ω |
3.699954499865 |
Real period |
R |
0.50442175925469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5200bi1 20800bm1 5850ca1 650i1 |
Quadratic twists by: -4 8 -3 5 |