Atkin-Lehner |
2- 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040m |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
4531278542400 = 26 · 312 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177390,28815912] |
[a1,a2,a3,a4,a6] |
j |
9645696383080717504/70801227225 |
j-invariant |
L |
2.7738485468763 |
L(r)(E,1)/r! |
Ω |
0.69346213672126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35040q1 70080ce2 105120g1 |
Quadratic twists by: -4 8 -3 |