Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dy |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.6243859971086E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24580777496,-1483334637202704] |
[a1,a2,a3,a4,a6] |
Generators |
[6220695757431440654756:88633578964416703560000:34344288161107651] |
Generators of the group modulo torsion |
j |
9937296563535244838593567/1587762000000 |
j-invariant |
L |
5.3565698416129 |
L(r)(E,1)/r! |
Ω |
0.012057316212695 |
Real period |
R |
27.766179893848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170w2 129360hm2 |
Quadratic twists by: -4 -7 |