Atkin-Lehner |
2- 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100bd |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
4101300000000 = 28 · 33 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171333,27239463] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-150:1] [-267:7350:1] |
Generators of the group modulo torsion |
j |
5562234634240/41013 |
j-invariant |
L |
11.365036311412 |
L(r)(E,1)/r! |
Ω |
0.69934238140279 |
Real period |
R |
0.30094506066439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100i1 |
Quadratic twists by: 5 |