Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560cg |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75694080 |
Modular degree for the optimal curve |
Δ |
4.0806469838163E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819871788,8497052230192] |
[a1,a2,a3,a4,a6] |
Generators |
[548053693364479036150484654892708498:-223135531377755946580649447056165830656:3218430009749447858335522264747] |
Generators of the group modulo torsion |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
4.2409996732517 |
L(r)(E,1)/r! |
Ω |
0.043106171060867 |
Real period |
R |
49.192488865536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fg1 3330y1 35520bo1 |
Quadratic twists by: -4 8 -3 |