Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730r |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1755362534768640 = -1 · 214 · 32 · 5 · 79 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-159177,-24593211] |
[a1,a2,a3,a4,a6] |
Generators |
[2610:130407:1] |
Generators of the group modulo torsion |
j |
-3791234790830089/14920335360 |
j-invariant |
L |
3.0036681894304 |
L(r)(E,1)/r! |
Ω |
0.11948044459143 |
Real period |
R |
1.5712132860197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390i1 |
Quadratic twists by: -7 |