Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576bh |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-2754843294653558784 = -1 · 212 · 37 · 139 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297384,-49806448] |
[a1,a2,a3,a4,a6] |
Generators |
[192714704:1141894188:1225043] |
Generators of the group modulo torsion |
j |
974067452145152/922591445451 |
j-invariant |
L |
7.5974649856909 |
L(r)(E,1)/r! |
Ω |
0.13945631993125 |
Real period |
R |
13.619793207154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576bg1 36192h1 |
Quadratic twists by: -4 -3 |