Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840c |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-3.7338233168026E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2617041,1656716241] |
[a1,a2,a3,a4,a6] |
Generators |
[-146026925:-1292700528:79507] |
Generators of the group modulo torsion |
j |
-120986111455981208656/2278944895509375 |
j-invariant |
L |
5.7841439988262 |
L(r)(E,1)/r! |
Ω |
0.20556638213276 |
Real period |
R |
14.068798454847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840cg1 9480e1 |
Quadratic twists by: -4 8 |