Atkin-Lehner |
2+ 3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63270i |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-360654218965800 = -1 · 23 · 39 · 52 · 195 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13140,1085400] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:1320:1] |
Generators of the group modulo torsion |
j |
-344192078341441/494724580200 |
j-invariant |
L |
3.2750355537744 |
L(r)(E,1)/r! |
Ω |
0.4837821510744 |
Real period |
R |
0.16924123525587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090r1 |
Quadratic twists by: -3 |