Atkin-Lehner |
2- 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150j |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
7584192 |
Modular degree for the optimal curve |
Δ |
-1.2236080667478E+24 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 2 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26028280,73795284347] |
[a1,a2,a3,a4,a6] |
Generators |
[-5485:229723:1] |
Generators of the group modulo torsion |
j |
-124807326579650811896073/78310916271856654336 |
j-invariant |
L |
8.8158228795829 |
L(r)(E,1)/r! |
Ω |
0.079863248699339 |
Real period |
R |
1.4335906450664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2806b1 |
Quadratic twists by: 5 |