Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
124468d |
Isogeny class |
Conductor |
124468 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
3984938913819503872 = 28 · 2910 · 37 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 -1 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-428349,-49329073] |
[a1,a2,a3,a4,a6] |
Generators |
[137218:50829199:1] |
Generators of the group modulo torsion |
j |
57080799232/26169397 |
j-invariant |
L |
3.300067651812 |
L(r)(E,1)/r! |
Ω |
0.19493565811842 |
Real period |
R |
8.4645048573079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4292b1 |
Quadratic twists by: 29 |