Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600v |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2392031250000000000 = 210 · 37 · 516 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-406133,66371637] |
[a1,a2,a3,a4,a6] |
j |
463030539649024/149501953125 |
j-invariant |
L |
1.9075317705982 |
L(r)(E,1)/r! |
Ω |
0.2384414713253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gb1 2100m1 100800fc1 6720x1 |
Quadratic twists by: -4 8 -3 5 |