Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23120w |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-142863512391680 = -1 · 212 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 -2 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11464,-324076] |
[a1,a2,a3,a4,a6] |
Generators |
[589444:7170914:12167] |
Generators of the group modulo torsion |
j |
5831/5 |
j-invariant |
L |
6.6994837552541 |
L(r)(E,1)/r! |
Ω |
0.32021945582854 |
Real period |
R |
10.460769377551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1445b1 92480ek1 115600ci1 23120bg1 |
Quadratic twists by: -4 8 5 17 |