Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70395l |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1003788703125 = -1 · 34 · 56 · 133 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -5 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3361,-89434] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1247:1] |
Generators of the group modulo torsion |
j |
-11631349980649/2780578125 |
j-invariant |
L |
4.6379288355262 |
L(r)(E,1)/r! |
Ω |
0.30959606895545 |
Real period |
R |
1.8725725630209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70395c1 |
Quadratic twists by: -19 |