Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150r |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-151500000000 = -1 · 28 · 3 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1299,-4952] |
[a1,a2,a3,a4,a6] |
Generators |
[129:922:27] |
Generators of the group modulo torsion |
j |
124251499/77568 |
j-invariant |
L |
4.7693597760278 |
L(r)(E,1)/r! |
Ω |
0.59211157352366 |
Real period |
R |
2.013708222103 |
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 |
121200cq1 45450cp1 15150bh1 |
Quadratic twists by: -4 -3 5 |