Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810ck |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-323328853332172800 = -1 · 213 · 35 · 52 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-828395,-291836455] |
[a1,a2,a3,a4,a6] |
j |
-222564427157569/1144627200 |
j-invariant |
L |
2.0566006044581 |
L(r)(E,1)/r! |
Ω |
0.079100023248593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430bn1 33810cs1 |
Quadratic twists by: -3 -7 |