Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bg |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.5307002616139E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97435647,-370192872286] |
[a1,a2,a3,a4,a6] |
Generators |
[2348170736653645:613560051756747978:33666977989] |
Generators of the group modulo torsion |
j |
-14800405103160199993360368/123418695914553325 |
j-invariant |
L |
4.9927547146027 |
L(r)(E,1)/r! |
Ω |
0.024026464744577 |
Real period |
R |
25.975287915116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960p2 51480e2 |
Quadratic twists by: -4 -3 |