Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bf |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
18158768588603125 = 55 · 72 · 179 |
Discriminant |
Eigenvalues |
0 -3 5- 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-68782,-2484750] |
[a1,a2,a3,a4,a6] |
Generators |
[578:-12283:1] |
Generators of the group modulo torsion |
j |
6193152/3125 |
j-invariant |
L |
3.1835039172188 |
L(r)(E,1)/r! |
Ω |
0.31086258063966 |
Real period |
R |
1.0240872065736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805a1 70805g1 |
Quadratic twists by: -7 17 |