Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360l |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
29491257600 = 28 · 37 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18903,1000298] |
[a1,a2,a3,a4,a6] |
Generators |
[34:630:1] |
Generators of the group modulo torsion |
j |
4002657422416/158025 |
j-invariant |
L |
6.3904195436112 |
L(r)(E,1)/r! |
Ω |
1.1047073554837 |
Real period |
R |
1.4461792757805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120w1 |
Quadratic twists by: -3 |