Atkin-Lehner |
3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70395d |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25536000 |
Modular degree for the optimal curve |
Δ |
-3.8264928378973E+26 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-270514816,-1954204343512] |
[a1,a2,a3,a4,a6] |
j |
-6784447285605552571/1185819250078125 |
j-invariant |
L |
0.073749839194148 |
L(r)(E,1)/r! |
Ω |
0.018437456961767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70395k1 |
Quadratic twists by: -19 |