Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cz |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.1618023938842E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6064227,5811245154] |
[a1,a2,a3,a4,a6] |
Generators |
[663:45630:1] |
Generators of the group modulo torsion |
j |
-63378025803/812500 |
j-invariant |
L |
4.6037152723331 |
L(r)(E,1)/r! |
Ω |
0.17249298345527 |
Real period |
R |
0.55602687131746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210e3 121680cm1 9360bb3 |
Quadratic twists by: -4 -3 13 |