Atkin-Lehner |
3- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
45135o |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
61693903125 = 39 · 55 · 17 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 0 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7167,233230] |
[a1,a2,a3,a4,a6] |
Generators |
[43:67:1] |
Generators of the group modulo torsion |
j |
55848099303424/84628125 |
j-invariant |
L |
2.7195104483415 |
L(r)(E,1)/r! |
Ω |
1.1065961938658 |
Real period |
R |
0.12287727282143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15045a1 |
Quadratic twists by: -3 |