Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040b |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-1681920 = -1 · 29 · 32 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] [8:26:1] |
Generators of the group modulo torsion |
j |
2863288/3285 |
j-invariant |
L |
6.4442214695085 |
L(r)(E,1)/r! |
Ω |
1.7722147976434 |
Real period |
R |
0.90906326339192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35040p1 70080bd1 105120bd1 |
Quadratic twists by: -4 8 -3 |