Atkin-Lehner |
2+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070q |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
46428323701760 = 210 · 5 · 78 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11688,-360202] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:190:1] |
Generators of the group modulo torsion |
j |
1500730351849/394634240 |
j-invariant |
L |
2.9925836411036 |
L(r)(E,1)/r! |
Ω |
0.4681387095582 |
Real period |
R |
1.5981287058455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010c1 |
Quadratic twists by: -7 |