Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200z |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
32212968480000 = 28 · 32 · 54 · 75 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14833,644437] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-462:1] [-123:770:1] |
Generators of the group modulo torsion |
j |
2255900800000/201331053 |
j-invariant |
L |
8.2890802178518 |
L(r)(E,1)/r! |
Ω |
0.640750754177 |
Real period |
R |
0.035934757278498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400cu1 46200ct1 |
Quadratic twists by: -4 5 |