Atkin-Lehner |
3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165bb |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
903726026253984375 = 310 · 57 · 134 · 193 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 -2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-311555,48844002] |
[a1,a2,a3,a4,a6] |
Generators |
[-623:1423:1] [-506:9028:1] |
Generators of the group modulo torsion |
j |
117099372095734561/31641960234375 |
j-invariant |
L |
7.1691024760402 |
L(r)(E,1)/r! |
Ω |
0.26143451943312 |
Real period |
R |
0.043527257855704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165n1 |
Quadratic twists by: 13 |