Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240b |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
4893765930240 = 28 · 3 · 5 · 11 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 0 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7041,203325] |
[a1,a2,a3,a4,a6] |
Generators |
[-2508:5869:27] |
Generators of the group modulo torsion |
j |
150816361513984/19116273165 |
j-invariant |
L |
5.3040898233055 |
L(r)(E,1)/r! |
Ω |
0.74190613748101 |
Real period |
R |
7.1492734117474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54120e1 |
Quadratic twists by: -4 |