Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950dz |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-1.1952639531E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1957576,-1067412202] |
[a1,a2,a3,a4,a6] |
Generators |
[1702:22211:1] |
Generators of the group modulo torsion |
j |
-8668683959667221/124892886528 |
j-invariant |
L |
6.7150810308562 |
L(r)(E,1)/r! |
Ω |
0.063762873854589 |
Real period |
R |
3.5104445321587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950gl1 124950bi1 |
Quadratic twists by: 5 -7 |