Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878f |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-30298401332785152 = -1 · 212 · 38 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8207,8373205] |
[a1,a2,a3,a4,a6] |
j |
519524563319/257532162048 |
j-invariant |
L |
1.1566752706163 |
L(r)(E,1)/r! |
Ω |
0.28916881765409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024du1 32634bz1 1554f1 |
Quadratic twists by: -4 -3 -7 |