Atkin-Lehner |
2- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101332b |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
5800032 |
Modular degree for the optimal curve |
Δ |
-5.6542457287625E+21 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 11- -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2990617,4129299825] |
[a1,a2,a3,a4,a6] |
Generators |
[-1825:59235:1] [-920367:-55960597:729] |
Generators of the group modulo torsion |
j |
-32070209905472256/61301397576023 |
j-invariant |
L |
8.4718960561255 |
L(r)(E,1)/r! |
Ω |
0.12053073287957 |
Real period |
R |
0.55784337046961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101332g1 |
Quadratic twists by: -7 |