Atkin-Lehner |
2+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120a |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
147250000 = 24 · 56 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-238,1287] |
[a1,a2,a3,a4,a6] |
Generators |
[1749:13706:27] |
Generators of the group modulo torsion |
j |
93182552064/9203125 |
j-invariant |
L |
5.6988280465387 |
L(r)(E,1)/r! |
Ω |
1.7802122072454 |
Real period |
R |
6.4024143002134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23560b1 |
Quadratic twists by: -4 |