Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370bm |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-183562500 = -1 · 22 · 3 · 56 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47350,3961832] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-32:1] |
Generators of the group modulo torsion |
j |
-11740436269218338401/183562500 |
j-invariant |
L |
10.016732698185 |
L(r)(E,1)/r! |
Ω |
1.281640687623 |
Real period |
R |
0.65129621188677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110q1 |
Quadratic twists by: -3 |