Atkin-Lehner |
3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067j |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-946468045994499 = -1 · 32 · 76 · 197 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 1 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41274,3564497] |
[a1,a2,a3,a4,a6] |
Generators |
[334290:5196817:1000] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
13.465616968391 |
L(r)(E,1)/r! |
Ω |
0.48172333562184 |
Real period |
R |
6.9882523705263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1083e1 2793l1 |
Quadratic twists by: -7 -19 |