Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bw |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
195861275775375000 = 23 · 3 · 56 · 710 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15053585,-22486868713] |
[a1,a2,a3,a4,a6] |
Generators |
[34817:6437116:1] |
Generators of the group modulo torsion |
j |
3206677550038752561409/1664793375000 |
j-invariant |
L |
8.2312760417112 |
L(r)(E,1)/r! |
Ω |
0.076646015607942 |
Real period |
R |
5.9662998759899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030t2 |
Quadratic twists by: -7 |