Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010d |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
20497680 = 24 · 32 · 5 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
223648543/59760 |
j-invariant |
L |
4.4347526855703 |
L(r)(E,1)/r! |
Ω |
1.5875049771841 |
Real period |
R |
1.3967681148556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122010y1 |
Quadratic twists by: -7 |