Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cd |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-7517771100 = -1 · 22 · 32 · 52 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,489,489] |
[a1,a2,a3,a4,a6] |
Generators |
[31:200:1] |
Generators of the group modulo torsion |
j |
109902239/63900 |
j-invariant |
L |
9.2915481739568 |
L(r)(E,1)/r! |
Ω |
0.79542492694205 |
Real period |
R |
2.9203095878597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130m1 |
Quadratic twists by: -7 |