Atkin-Lehner |
2+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770d |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29164800 |
Modular degree for the optimal curve |
Δ |
-1.4383854057617E+27 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5098958988,140152425696592] |
[a1,a2,a3,a4,a6] |
j |
-363317158327452373460893807/35644531250000000000 |
j-invariant |
L |
0.18354250093742 |
L(r)(E,1)/r! |
Ω |
0.045885625227629 |
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 |
35770r1 |
Quadratic twists by: -7 |