Atkin-Lehner |
2- 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112l |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
91840 |
Modular degree for the optimal curve |
Δ |
-85658170042368 = -1 · 211 · 35 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25088,-1584660] |
[a1,a2,a3,a4,a6] |
j |
-852725388469250/41825278341 |
j-invariant |
L |
0.18913043969263 |
L(r)(E,1)/r! |
Ω |
0.18913043968407 |
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 |
70224z1 105336p1 |
Quadratic twists by: -4 -3 |