Atkin-Lehner |
2+ 3+ 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990j |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-123314719334400 = -1 · 213 · 312 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-246417,46982421] |
[a1,a2,a3,a4,a6] |
j |
-1654773143506480672921/123314719334400 |
j-invariant |
L |
2.2388646672212 |
L(r)(E,1)/r! |
Ω |
0.55971616680497 |
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 |
101970bs1 |
Quadratic twists by: -3 |