Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bp |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-7523996723100000000 = -1 · 28 · 33 · 58 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-296271,145716693] |
[a1,a2,a3,a4,a6] |
Generators |
[369:9132:1] |
Generators of the group modulo torsion |
j |
-1623435815226889/4247100000000 |
j-invariant |
L |
8.1696625569863 |
L(r)(E,1)/r! |
Ω |
0.20729429173594 |
Real period |
R |
2.4631836484048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290e1 |
Quadratic twists by: -11 |