Atkin-Lehner |
5+ 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
71225c |
Isogeny class |
Conductor |
71225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1249280 |
Modular degree for the optimal curve |
Δ |
-3883724061740359375 = -1 · 56 · 7 · 1110 · 372 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1337101,-602723277] |
[a1,a2,a3,a4,a6] |
j |
-16919824733903238337/248558339951383 |
j-invariant |
L |
0.56109865630082 |
L(r)(E,1)/r! |
Ω |
0.0701373347742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849a1 |
Quadratic twists by: 5 |