Atkin-Lehner |
2- 3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906u |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-1390446486 = -1 · 2 · 39 · 11 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11+ 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133,-1727] |
[a1,a2,a3,a4,a6] |
Generators |
[214:1033:8] |
Generators of the group modulo torsion |
j |
13312053/70642 |
j-invariant |
L |
11.174015391496 |
L(r)(E,1)/r! |
Ω |
0.7629896205695 |
Real period |
R |
3.6612606155581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906g1 |
Quadratic twists by: -3 |