Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42826u |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
1645203616 = 25 · 76 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7- -5 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-589,4899] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-112:1] |
Generators of the group modulo torsion |
j |
192100033/13984 |
j-invariant |
L |
8.3376945576668 |
L(r)(E,1)/r! |
Ω |
1.4674849344889 |
Real period |
R |
0.56816219108668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874d1 |
Quadratic twists by: -7 |