Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210dc |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
317550400316375040 = 218 · 314 · 5 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-170753,-1535983] |
[a1,a2,a3,a4,a6] |
j |
14910549714397/8599633920 |
j-invariant |
L |
4.609021357139 |
L(r)(E,1)/r! |
Ω |
0.25605676441046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41070r1 123210bu1 |
Quadratic twists by: -3 37 |