Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1302f |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
9968032637892 = 22 · 314 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9397,-316756] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:128:1] |
Generators of the group modulo torsion |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
2.1748197878149 |
L(r)(E,1)/r! |
Ω |
0.4883220216268 |
Real period |
R |
0.12724740124616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416t1 41664q1 3906s1 32550bl1 |
Quadratic twists by: -4 8 -3 5 |