Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ee |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.1173256793655E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2739942,679606591] |
[a1,a2,a3,a4,a6] |
Generators |
[-1510:37799:1] [-26:209929:8] |
Generators of the group modulo torsion |
j |
1697509118089/833765625 |
j-invariant |
L |
14.010185739765 |
L(r)(E,1)/r! |
Ω |
0.1373718423233 |
Real period |
R |
12.748414726931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984621 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40425l2 24255bi2 17325p2 |
Quadratic twists by: -3 5 -7 |