Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700j |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
382359250000 = 24 · 56 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4900,128625] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:441:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
5.4986546160706 |
L(r)(E,1)/r! |
Ω |
0.94735532278562 |
Real period |
R |
1.9347385591318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2548i1 1300b1 |
Quadratic twists by: 5 -7 |