Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1150i |
Isogeny class |
Conductor |
1150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
-26450000000 = -1 · 27 · 58 · 232 |
Discriminant |
Eigenvalues |
2- -3 5- -4 3 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,195,-7803] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-610:1] |
Generators of the group modulo torsion |
j |
2109375/67712 |
j-invariant |
L |
2.3209823277338 |
L(r)(E,1)/r! |
Ω |
0.57292656548448 |
Real period |
R |
0.096454741886392 |
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 |
9200bl1 36800bo1 10350z1 1150b1 |
Quadratic twists by: -4 8 -3 5 |