Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35040a |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
172423080000 = 26 · 310 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15046,715120] |
[a1,a2,a3,a4,a6] |
Generators |
[78:100:1] |
Generators of the group modulo torsion |
j |
5886210305319616/2694110625 |
j-invariant |
L |
3.1416773562874 |
L(r)(E,1)/r! |
Ω |
1.0014494916532 |
Real period |
R |
1.5685650561878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35040e1 70080cn1 105120z1 |
Quadratic twists by: -4 8 -3 |