Atkin-Lehner |
2- 3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bm |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5750784 |
Modular degree for the optimal curve |
Δ |
-5.386318988985E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7904792,-9251777808] |
[a1,a2,a3,a4,a6] |
Generators |
[61788654091892:854251427510272:18378843119] |
Generators of the group modulo torsion |
j |
-13336293950598670900633/1315019284420165632 |
j-invariant |
L |
6.560926140878 |
L(r)(E,1)/r! |
Ω |
0.044768687057687 |
Real period |
R |
18.318959592239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398q1 |
Quadratic twists by: -4 |