Atkin-Lehner |
3+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78351c |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
181436256354717 = 310 · 78 · 13 · 41 |
Discriminant |
Eigenvalues |
2 3+ -4 7+ -5 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-854870,-303941863] |
[a1,a2,a3,a4,a6] |
Generators |
[9770:173799:8] |
Generators of the group modulo torsion |
j |
11985057719627776/31473117 |
j-invariant |
L |
5.8989705825051 |
L(r)(E,1)/r! |
Ω |
0.15700900508175 |
Real period |
R |
6.2618176785338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78351v1 |
Quadratic twists by: -7 |