Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380bb |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-1353067320496950000 = -1 · 24 · 39 · 55 · 173 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264513,76641437] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:10557:1] |
Generators of the group modulo torsion |
j |
-175475813535798016/116003714034375 |
j-invariant |
L |
7.046886071385 |
L(r)(E,1)/r! |
Ω |
0.2500080712153 |
Real period |
R |
0.58722154759038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460e1 |
Quadratic twists by: -3 |