Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150bg |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-1424207812500 = -1 · 22 · 35 · 58 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2799,7048] |
[a1,a2,a3,a4,a6] |
Generators |
[77:786:1] |
Generators of the group modulo torsion |
j |
6211484375/3645972 |
j-invariant |
L |
4.221591225813 |
L(r)(E,1)/r! |
Ω |
0.51728148051302 |
Real period |
R |
0.1360185052332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51150bq1 |
Quadratic twists by: 5 |