Atkin-Lehner |
2- 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258r |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2.1562989816287E+20 |
Discriminant |
Eigenvalues |
2- 1 3 1 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4845149,4164909137] |
[a1,a2,a3,a4,a6] |
Generators |
[301270:9918723:125] |
Generators of the group modulo torsion |
j |
-2606063631017003353/44673385286816 |
j-invariant |
L |
16.98032614533 |
L(r)(E,1)/r! |
Ω |
0.17775176330193 |
Real period |
R |
2.3882078342328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866e1 |
Quadratic twists by: 13 |