Atkin-Lehner |
3+ 7- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33411d |
Isogeny class |
Conductor |
33411 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
408000 |
Modular degree for the optimal curve |
Δ |
-19394484515260659 = -1 · 32 · 75 · 375 · 432 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 5 3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-152899,-23916762] |
[a1,a2,a3,a4,a6] |
Generators |
[3504:206034:1] |
Generators of the group modulo torsion |
j |
-395312445744596549632/19394484515260659 |
j-invariant |
L |
5.4651644348122 |
L(r)(E,1)/r! |
Ω |
0.12037261278125 |
Real period |
R |
0.45402058728624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100233n1 |
Quadratic twists by: -3 |