Atkin-Lehner |
2+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642f |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-5390139777303424 = -1 · 27 · 11 · 139 · 192 |
Discriminant |
Eigenvalues |
2+ -2 3 5 11- 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21467,3732198] |
[a1,a2,a3,a4,a6] |
Generators |
[-1578:5179:8] |
Generators of the group modulo torsion |
j |
-103161709/508288 |
j-invariant |
L |
4.8937849167827 |
L(r)(E,1)/r! |
Ω |
0.3723309866112 |
Real period |
R |
3.2859103127131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70642l1 |
Quadratic twists by: 13 |