Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900n |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-954807750000 = -1 · 24 · 36 · 56 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1742,-38363] |
[a1,a2,a3,a4,a6] |
Generators |
[1274:16497:8] |
Generators of the group modulo torsion |
j |
2337108224/3819231 |
j-invariant |
L |
6.8105213275063 |
L(r)(E,1)/r! |
Ω |
0.46444155397595 |
Real period |
R |
3.6659732395953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4836d1 |
Quadratic twists by: 5 |