Atkin-Lehner |
2- 3+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710p |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-75416680430515800 = -1 · 23 · 38 · 52 · 234 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 1 3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,79349,-9994927] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1794:1] |
Generators of the group modulo torsion |
j |
55251967002162988751/75416680430515800 |
j-invariant |
L |
7.7152614298309 |
L(r)(E,1)/r! |
Ω |
0.1833588589547 |
Real period |
R |
0.87661220209236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130y1 |
Quadratic twists by: -3 |