Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200bq |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-107200 = -1 · 26 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] [338:2203:8] |
Generators of the group modulo torsion |
j |
69120/67 |
j-invariant |
L |
10.54186324828 |
L(r)(E,1)/r! |
Ω |
1.8242572865789 |
Real period |
R |
5.7787151663572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200ci1 53600e1 107200df1 |
Quadratic twists by: -4 8 5 |