Atkin-Lehner |
3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739m |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1485062667 = -1 · 39 · 11 · 193 |
Discriminant |
Eigenvalues |
-2 3- 0 -4 11+ -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,285,90] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] [34:293:8] |
Generators of the group modulo torsion |
j |
512000/297 |
j-invariant |
L |
4.0294968934613 |
L(r)(E,1)/r! |
Ω |
0.90814558160064 |
Real period |
R |
0.55463256320099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11913h1 35739l1 |
Quadratic twists by: -3 -19 |