Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fu |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.1206687139532E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1559081400,-23692660545168] |
[a1,a2,a3,a4,a6] |
Generators |
[348732308:36595339264:6859] |
Generators of the group modulo torsion |
j |
298315634894429753085191407/22212303505611816960 |
j-invariant |
L |
6.0077811148012 |
L(r)(E,1)/r! |
Ω |
0.024026156264948 |
Real period |
R |
10.41882072688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999295403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bb2 129360gz2 |
Quadratic twists by: -4 -7 |