Atkin-Lehner |
2- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770p |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-315180800 = -1 · 28 · 52 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,153,-481] |
[a1,a2,a3,a4,a6] |
Generators |
[7:26:1] |
Generators of the group modulo torsion |
j |
299418309/236800 |
j-invariant |
L |
7.132988202903 |
L(r)(E,1)/r! |
Ω |
0.95592682465945 |
Real period |
R |
0.93273198571441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44770d1 |
Quadratic twists by: -11 |