Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280r |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
1320 |
Product of Tamagawa factors cp |
deg |
8279040 |
Modular degree for the optimal curve |
Δ |
4.0763922734239E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10651240,9197378900] |
[a1,a2,a3,a4,a6] |
Generators |
[-1630:149100:1] |
Generators of the group modulo torsion |
j |
65252072840965760448722/19904259147577678125 |
j-invariant |
L |
10.341930001955 |
L(r)(E,1)/r! |
Ω |
0.10625909301244 |
Real period |
R |
0.073732940935427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59640f1 |
Quadratic twists by: -4 |