Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bg |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-50056817384000 = -1 · 26 · 53 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -2 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7935,207925] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-930:1] |
Generators of the group modulo torsion |
j |
9393931/8512 |
j-invariant |
L |
2.734049167761 |
L(r)(E,1)/r! |
Ω |
0.41378520685004 |
Real period |
R |
0.41296322691327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999248176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350dr1 6650bc1 |
Quadratic twists by: 5 -19 |