Atkin-Lehner |
2- 3+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710t |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
206400 |
Modular degree for the optimal curve |
Δ |
-44293367803680 = -1 · 25 · 36 · 5 · 235 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138295,19740077] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-54:1] |
Generators of the group modulo torsion |
j |
-292511769038446967281/44293367803680 |
j-invariant |
L |
9.0136388637748 |
L(r)(E,1)/r! |
Ω |
0.61873522760427 |
Real period |
R |
1.4567844954744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130t1 |
Quadratic twists by: -3 |