Atkin-Lehner |
2+ 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210z |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107328 |
Modular degree for the optimal curve |
Δ |
-342535495680 = -1 · 213 · 34 · 5 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-663,28858] |
[a1,a2,a3,a4,a6] |
j |
-13394613001/142663680 |
j-invariant |
L |
3.2711756765511 |
L(r)(E,1)/r! |
Ω |
0.81779391846547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210c1 |
Quadratic twists by: -7 |