Atkin-Lehner |
3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26019g |
Isogeny class |
Conductor |
26019 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-1374939722788398963 = -1 · 39 · 78 · 594 |
Discriminant |
Eigenvalues |
2 3- -2 7+ 2 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,227409,37953207] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1333351:216] |
Generators of the group modulo torsion |
j |
309481582592/327168747 |
j-invariant |
L |
9.8747756306944 |
L(r)(E,1)/r! |
Ω |
0.17903513213494 |
Real period |
R |
6.8944398739935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8673g1 26019j1 |
Quadratic twists by: -3 -7 |