Atkin-Lehner |
2+ 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42504d |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
210023230032 = 24 · 32 · 78 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1559,-8172] |
[a1,a2,a3,a4,a6] |
j |
26207199680512/13126451877 |
j-invariant |
L |
1.6008498518366 |
L(r)(E,1)/r! |
Ω |
0.80042492594451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008u1 127512bb1 |
Quadratic twists by: -4 -3 |