Atkin-Lehner |
2- 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cb |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
51701760 |
Modular degree for the optimal curve |
Δ |
-3.8706372070313E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-209359938,-1203869217969] |
[a1,a2,a3,a4,a6] |
j |
-64950788730335939358724441/2477207812500000000000 |
j-invariant |
L |
3.484882483767 |
L(r)(E,1)/r! |
Ω |
0.019800469538004 |
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 |
25530v1 |
Quadratic twists by: 5 |