Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600k |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
695466000000000 = 210 · 38 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29208,-1433088] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:324:1] |
Generators of the group modulo torsion |
j |
1377888404/347733 |
j-invariant |
L |
2.7568302304482 |
L(r)(E,1)/r! |
Ω |
0.3719697573693 |
Real period |
R |
1.8528591208114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800bb1 63600z1 |
Quadratic twists by: -4 5 |