Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150bp |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-4351746093750 = -1 · 2 · 33 · 59 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75713,7987781] |
[a1,a2,a3,a4,a6] |
j |
-3071958955278409/278511750 |
j-invariant |
L |
4.4568161034132 |
L(r)(E,1)/r! |
Ω |
0.74280268387843 |
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 |
10230o1 |
Quadratic twists by: 5 |