Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cg |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
217346976000000000 = 214 · 36 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170367,15190541] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:6481:1] |
Generators of the group modulo torsion |
j |
384082046109/152649728 |
j-invariant |
L |
4.3063374639198 |
L(r)(E,1)/r! |
Ω |
0.28659456072765 |
Real period |
R |
1.2521572440716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850w1 34650ed1 |
Quadratic twists by: -3 5 |