Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bf |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.3013664145941E+24 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47095355,56609572772] |
[a1,a2,a3,a4,a6] |
Generators |
[8430:504331:1] |
Generators of the group modulo torsion |
j |
232747967939865867/106810953528125 |
j-invariant |
L |
3.7063183921129 |
L(r)(E,1)/r! |
Ω |
0.068446708674603 |
Real period |
R |
6.7686204988007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275r2 24255w2 17325b2 |
Quadratic twists by: -3 5 -7 |