Atkin-Lehner |
2+ 5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76850c |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5809537844800000000 = -1 · 212 · 58 · 293 · 533 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1077951,446017298] |
[a1,a2,a3,a4,a6] |
j |
-354617494895186185/14872416882688 |
j-invariant |
L |
0.47563389738788 |
L(r)(E,1)/r! |
Ω |
0.23781695316591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76850i2 |
Quadratic twists by: 5 |