Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020h |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
61582080 |
Modular degree for the optimal curve |
Δ |
-1.3828839040871E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 3 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3345244380,193797916786872] |
[a1,a2,a3,a4,a6] |
j |
-16172132698353537004823569955536/54018902503403928364717265625 |
j-invariant |
L |
3.2867715542452 |
L(r)(E,1)/r! |
Ω |
0.019564116394324 |
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 |
124080cf1 93060h1 |
Quadratic twists by: -4 -3 |