Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210bf |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
-1.3989495604422E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3382716,-2462769891] |
[a1,a2,a3,a4,a6] |
Generators |
[20061:2819033:1] |
Generators of the group modulo torsion |
j |
-106081089828872887/3466727424000 |
j-invariant |
L |
8.343628232792 |
L(r)(E,1)/r! |
Ω |
0.055554430180756 |
Real period |
R |
5.0062783503549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210cq1 |
Quadratic twists by: -7 |