Atkin-Lehner |
2- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
100048l |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
1607133088976896 = 212 · 139 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 2 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4578379,-3770645190] |
[a1,a2,a3,a4,a6] |
Generators |
[1283317227335:481095167069790:9129329] |
Generators of the group modulo torsion |
j |
536832589893417/81289 |
j-invariant |
L |
7.1689955989978 |
L(r)(E,1)/r! |
Ω |
0.10320996324736 |
Real period |
R |
17.365076428525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6253b1 7696c1 |
Quadratic twists by: -4 13 |