Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968i |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-340286656 = -1 · 26 · 19 · 234 |
Discriminant |
Eigenvalues |
2+ -2 1 -5 1 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75,877] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:23:1] [36:227:1] |
Generators of the group modulo torsion |
j |
719323136/5316979 |
j-invariant |
L |
5.5554077847188 |
L(r)(E,1)/r! |
Ω |
1.2444431157515 |
Real period |
R |
1.1160429340644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968bw1 437a1 |
Quadratic twists by: -4 8 |