Atkin-Lehner |
3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47481f |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
5397231247080204861 = 34 · 711 · 173 · 193 |
Discriminant |
Eigenvalues |
2 3+ -1 7- -2 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4296826,3427838553] |
[a1,a2,a3,a4,a6] |
Generators |
[7082:142439:8] |
Generators of the group modulo torsion |
j |
74572529560399507456/45875708650989 |
j-invariant |
L |
8.9425010604754 |
L(r)(E,1)/r! |
Ω |
0.23867768251366 |
Real period |
R |
3.1222375458751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783d1 |
Quadratic twists by: -7 |