Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800m |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
-292320000 = -1 · 28 · 32 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,837] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-30:1] [-7:26:1] |
Generators of the group modulo torsion |
j |
-25600/1827 |
j-invariant |
L |
10.13443971494 |
L(r)(E,1)/r! |
Ω |
1.4275467688111 |
Real period |
R |
0.29579999112072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800br1 |
Quadratic twists by: 5 |