Atkin-Lehner |
2+ 3+ 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710g |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-417074232950784000 = -1 · 226 · 33 · 53 · 232 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,181953,-8469819] |
[a1,a2,a3,a4,a6] |
Generators |
[2447:121644:1] |
Generators of the group modulo torsion |
j |
666189286609605933959/417074232950784000 |
j-invariant |
L |
4.9265228706799 |
L(r)(E,1)/r! |
Ω |
0.17197637699714 |
Real period |
R |
4.7744182046987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130br1 |
Quadratic twists by: -3 |