Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880s |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6754322173888800000 = 28 · 36 · 55 · 710 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-834596,265219980] |
[a1,a2,a3,a4,a6] |
Generators |
[-434:23364:1] |
Generators of the group modulo torsion |
j |
251138423652869729104/26384070991753125 |
j-invariant |
L |
6.8014840506338 |
L(r)(E,1)/r! |
Ω |
0.22973851946039 |
Real period |
R |
4.9342212079223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440b2 |
Quadratic twists by: -4 |