Atkin-Lehner |
3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569f |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1615680 |
Modular degree for the optimal curve |
Δ |
-4963693909248798651 = -1 · 317 · 197 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 1 4 2 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-686020,243787254] |
[a1,a2,a3,a4,a6] |
Generators |
[-367:21118:1] |
Generators of the group modulo torsion |
j |
-758949835165696/105507513171 |
j-invariant |
L |
3.13552780815 |
L(r)(E,1)/r! |
Ω |
0.23517406885197 |
Real period |
R |
3.3331989188251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451i1 |
Quadratic twists by: -19 |