Atkin-Lehner |
2+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126616d |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-476679865088 = -1 · 28 · 78 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-42365] |
[a1,a2,a3,a4,a6] |
Generators |
[51:98:1] [87:694:1] |
Generators of the group modulo torsion |
j |
-16000000/15827 |
j-invariant |
L |
13.922930265187 |
L(r)(E,1)/r! |
Ω |
0.36104040926726 |
Real period |
R |
4.8204196503462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18088b1 |
Quadratic twists by: -7 |