Atkin-Lehner |
3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35055g |
Isogeny class |
Conductor |
35055 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-5125216275 = -1 · 36 · 52 · 193 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1452,-21573] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1187:1] |
Generators of the group modulo torsion |
j |
-464404086784/7030475 |
j-invariant |
L |
5.0238394235057 |
L(r)(E,1)/r! |
Ω |
0.38635554737472 |
Real period |
R |
2.1671917907577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895b1 |
Quadratic twists by: -3 |