Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976c |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2555904 |
Modular degree for the optimal curve |
Δ |
-782703885429047296 = -1 · 216 · 114 · 138 |
Discriminant |
Eigenvalues |
2+ 0 -3 0 11+ 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2311244,-1353105936] |
[a1,a2,a3,a4,a6] |
Generators |
[2070:52272:1] |
Generators of the group modulo torsion |
j |
-25540791588/14641 |
j-invariant |
L |
5.6685689018913 |
L(r)(E,1)/r! |
Ω |
0.06121997923468 |
Real period |
R |
3.8580602357451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cw1 14872c1 118976ba1 |
Quadratic twists by: -4 8 13 |