Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
370c |
Isogeny class |
Conductor |
370 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
108 |
Modular degree for the optimal curve |
Δ |
-50653000 = -1 · 23 · 53 · 373 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19,342] |
[a1,a2,a3,a4,a6] |
j |
-702595369/50653000 |
j-invariant |
L |
0.55062075505614 |
L(r)(E,1)/r! |
Ω |
1.6518622651684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2960j2 11840k2 3330z2 1850h2 |
Quadratic twists by: -4 8 -3 5 |