Atkin-Lehner |
2- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
100048m |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-3956019911327744 = -1 · 217 · 138 · 37 |
Discriminant |
Eigenvalues |
2- 0 3 0 3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37349,1199562] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:606:1] |
Generators of the group modulo torsion |
j |
1724463/1184 |
j-invariant |
L |
8.8639009483586 |
L(r)(E,1)/r! |
Ω |
0.27786279580536 |
Real period |
R |
5.3167133104023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12506e1 100048g1 |
Quadratic twists by: -4 13 |