Atkin-Lehner |
2+ 5- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050i |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4231680 |
Modular degree for the optimal curve |
Δ |
-1.5466765125632E+21 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 1 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,330175,-1890612875] |
[a1,a2,a3,a4,a6] |
Generators |
[20830:1021235:8] |
Generators of the group modulo torsion |
j |
10190469224627015/3959491872161792 |
j-invariant |
L |
4.6263792478099 |
L(r)(E,1)/r! |
Ω |
0.07058573752396 |
Real period |
R |
5.461890971297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050q1 |
Quadratic twists by: 5 |