Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490o |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3970560 |
Modular degree for the optimal curve |
Δ |
28793473736602080 = 25 · 3 · 5 · 118 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -3 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22550772,41208919536] |
[a1,a2,a3,a4,a6] |
j |
5916522263654774761/134323680 |
j-invariant |
L |
1.0809518418587 |
L(r)(E,1)/r! |
Ω |
0.27023797195487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490by1 |
Quadratic twists by: -11 |