Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350x |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-2379267198437500 = -1 · 22 · 58 · 77 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30651,3123698] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-1098:1] |
Generators of the group modulo torsion |
j |
-1732323601/1294300 |
j-invariant |
L |
3.1789390675675 |
L(r)(E,1)/r! |
Ω |
0.42243240355806 |
Real period |
R |
0.94066501198347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21070r1 15050b1 |
Quadratic twists by: 5 -7 |