Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678d |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1058400 |
Modular degree for the optimal curve |
Δ |
-481321662192153216 = -1 · 27 · 33 · 710 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-483051,-133343099] |
[a1,a2,a3,a4,a6] |
Generators |
[292313:2792525:343] |
Generators of the group modulo torsion |
j |
-1634402470491/63108992 |
j-invariant |
L |
4.1007977048361 |
L(r)(E,1)/r! |
Ω |
0.090341819970593 |
Real period |
R |
7.5653366779484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69678u2 69678b1 |
Quadratic twists by: -3 -7 |