Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200bn |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-201704580000000000 = -1 · 211 · 35 · 510 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35208,-21768912] |
[a1,a2,a3,a4,a6] |
j |
-241340450/10085229 |
j-invariant |
L |
4.1623107411384 |
L(r)(E,1)/r! |
Ω |
0.13874369136176 |
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 |
92400e1 46200cf1 |
Quadratic twists by: -4 5 |