Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114798k |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576576 |
Modular degree for the optimal curve |
Δ |
-45958932965376 = -1 · 211 · 32 · 196 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -5 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4340,-344590] |
[a1,a2,a3,a4,a6] |
Generators |
[372:6853:1] |
Generators of the group modulo torsion |
j |
-192100033/976896 |
j-invariant |
L |
2.7060818713795 |
L(r)(E,1)/r! |
Ω |
0.26529877633007 |
Real period |
R |
2.5500323781072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999975329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318d1 |
Quadratic twists by: -19 |