Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bu |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
149554673493750000 = 24 · 38 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-181301,-23241877] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:1484:1] [-179:1964:1] |
Generators of the group modulo torsion |
j |
5601911201812801/1271193750000 |
j-invariant |
L |
10.668792713916 |
L(r)(E,1)/r! |
Ω |
0.23513174509207 |
Real period |
R |
5.6717100820111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930o4 |
Quadratic twists by: -7 |