Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658ct |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-31239353376 = -1 · 25 · 33 · 74 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,783,1161] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-117:1] |
Generators of the group modulo torsion |
j |
22109665487/13010976 |
j-invariant |
L |
10.106784629312 |
L(r)(E,1)/r! |
Ω |
0.71213142097972 |
Real period |
R |
0.47307675490559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658cr1 |
Quadratic twists by: -7 |