Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878i |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-97902 = -1 · 2 · 33 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
1922375/1998 |
j-invariant |
L |
2.4537945459339 |
L(r)(E,1)/r! |
Ω |
1.8278954876922 |
Real period |
R |
1.3424151229958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024eb1 32634cb1 10878m1 |
Quadratic twists by: -4 -3 -7 |