Atkin-Lehner |
2- 3+ 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090o |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
1780800 |
Modular degree for the optimal curve |
Δ |
6982225920000000000 = 221 · 35 · 510 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 4 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8036005,8763888875] |
[a1,a2,a3,a4,a6] |
Generators |
[1543:5628:1] |
Generators of the group modulo torsion |
j |
57391068489758620849901521/6982225920000000000 |
j-invariant |
L |
8.8180889831449 |
L(r)(E,1)/r! |
Ω |
0.22722641474146 |
Real period |
R |
0.18479761680669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270k1 |
Quadratic twists by: -3 |