Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cr |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1227639239995593600 = 27 · 310 · 52 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-708590,-223604053] |
[a1,a2,a3,a4,a6] |
Generators |
[-505:2653:1] |
Generators of the group modulo torsion |
j |
334441811780708689/10434761366400 |
j-invariant |
L |
7.3891730681369 |
L(r)(E,1)/r! |
Ω |
0.16486571898427 |
Real period |
R |
1.6006907911094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430bd2 4830bf2 |
Quadratic twists by: -3 -7 |