Atkin-Lehner |
3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68241n |
Isogeny class |
Conductor |
68241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
1842507 = 34 · 232 · 43 |
Discriminant |
Eigenvalues |
-1 3- -4 -1 2 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80,261] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-11:1] [-58:203:8] |
Generators of the group modulo torsion |
j |
107121649/3483 |
j-invariant |
L |
6.4556466303562 |
L(r)(E,1)/r! |
Ω |
2.6242530507989 |
Real period |
R |
0.61499848770347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68241f1 |
Quadratic twists by: -23 |