Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ch |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-87707812500 = -1 · 22 · 36 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,6916] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:28:1] |
Generators of the group modulo torsion |
j |
397535/308 |
j-invariant |
L |
4.2830624323722 |
L(r)(E,1)/r! |
Ω |
0.69028397369301 |
Real period |
R |
1.034130540377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3850z1 34650cw1 |
Quadratic twists by: -3 5 |