Atkin-Lehner |
2+ 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958g |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
1390116959433828 = 22 · 312 · 412 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28031,-214306] |
[a1,a2,a3,a4,a6] |
Generators |
[294:3973:1] |
Generators of the group modulo torsion |
j |
2435663087443419625/1390116959433828 |
j-invariant |
L |
4.8696906541462 |
L(r)(E,1)/r! |
Ω |
0.39937428702818 |
Real period |
R |
3.0483251002353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
53874k1 |
Quadratic twists by: -3 |