Atkin-Lehner |
3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279f |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
2046239302654701 = 37 · 7 · 117 · 193 |
Discriminant |
Eigenvalues |
2 3+ 3 7+ 11- -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-52554,4112327] |
[a1,a2,a3,a4,a6] |
Generators |
[10:16089:8] |
Generators of the group modulo torsion |
j |
9061356040192/1155048741 |
j-invariant |
L |
11.939695934236 |
L(r)(E,1)/r! |
Ω |
0.44856464371111 |
Real period |
R |
4.4362598574467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389a1 |
Quadratic twists by: -11 |