Atkin-Lehner |
3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275l |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-5735684671875 = -1 · 35 · 56 · 19 · 433 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 -2 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26358,-1659931] |
[a1,a2,a3,a4,a6] |
j |
-129615674355712/367083819 |
j-invariant |
L |
0.93656173051991 |
L(r)(E,1)/r! |
Ω |
0.18731234750152 |
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 |
2451e1 |
Quadratic twists by: 5 |