Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600fc |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-2500470000000000 = -1 · 210 · 36 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65833,-6910463] |
[a1,a2,a3,a4,a6] |
Generators |
[2608:132489:1] |
Generators of the group modulo torsion |
j |
-3155449600/250047 |
j-invariant |
L |
4.4299516525853 |
L(r)(E,1)/r! |
Ω |
0.14835070514794 |
Real period |
R |
4.9768909065489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600cj1 8400ch1 100800nm1 33600hc1 |
Quadratic twists by: -4 8 -3 5 |