Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cv |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-9.486608178217E+18 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-292531,-160237855] |
[a1,a2,a3,a4,a6] |
Generators |
[1166:-33511:1] |
Generators of the group modulo torsion |
j |
-23531588875176481/80634839040000 |
j-invariant |
L |
10.558221046271 |
L(r)(E,1)/r! |
Ω |
0.094327134171982 |
Real period |
R |
0.69957475246478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510p1 |
Quadratic twists by: -7 |