Atkin-Lehner |
2- 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57350p |
Isogeny class |
Conductor |
57350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1157760 |
Modular degree for the optimal curve |
Δ |
-5130880655781250000 = -1 · 24 · 510 · 316 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,423320,25165947] |
[a1,a2,a3,a4,a6] |
j |
859074826220775/525402179152 |
j-invariant |
L |
3.5831827589701 |
L(r)(E,1)/r! |
Ω |
0.14929928171791 |
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 |
57350i1 |
Quadratic twists by: 5 |