Atkin-Lehner |
2- 7+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558r |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-2309548581275768 = -1 · 23 · 78 · 313 · 412 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 0 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10683,2350025] |
[a1,a2,a3,a4,a6] |
Generators |
[24184:3748797:1] |
Generators of the group modulo torsion |
j |
-23389536625/400629368 |
j-invariant |
L |
12.793087737482 |
L(r)(E,1)/r! |
Ω |
0.38849227318659 |
Real period |
R |
5.4883492414854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078388 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124558x1 |
Quadratic twists by: -7 |