Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512q |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-104163065856 = -1 · 214 · 39 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4347,111402] |
[a1,a2,a3,a4,a6] |
Generators |
[42:54:1] |
Generators of the group modulo torsion |
j |
-112678587/1292 |
j-invariant |
L |
7.41850500716 |
L(r)(E,1)/r! |
Ω |
1.0646144766182 |
Real period |
R |
1.7420637165105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5814l1 46512u1 |
Quadratic twists by: -4 -3 |