Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105ce |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-6813641835 = -1 · 34 · 5 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11- 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,474,326] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-74:1] |
Generators of the group modulo torsion |
j |
99897344/57915 |
j-invariant |
L |
3.406808665381 |
L(r)(E,1)/r! |
Ω |
0.79920279844726 |
Real period |
R |
0.53284482801094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2145b1 |
Quadratic twists by: -7 |