Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785i |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18882598376127915 = -1 · 36 · 5 · 119 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,48642,-5163282] |
[a1,a2,a3,a4,a6] |
Generators |
[946:11975:8] |
Generators of the group modulo torsion |
j |
9855401984/14621035 |
j-invariant |
L |
2.8951627703071 |
L(r)(E,1)/r! |
Ω |
0.20477104026057 |
Real period |
R |
1.7673170282211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7865d2 6435i2 |
Quadratic twists by: -3 -11 |