Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878bi |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-15046841202430464 = -1 · 29 · 39 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-233584,-43948591] |
[a1,a2,a3,a4,a6] |
j |
-11980221891814513/127896039936 |
j-invariant |
L |
3.9064741700499 |
L(r)(E,1)/r! |
Ω |
0.10851317139028 |
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 |
87024ek1 32634bh1 1554n1 |
Quadratic twists by: -4 -3 -7 |