Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640h |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
21790947780000000 = 28 · 33 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26798247,-53395872614] |
[a1,a2,a3,a4,a6] |
Generators |
[225106:37069725:8] |
Generators of the group modulo torsion |
j |
7630566466251024/78125 |
j-invariant |
L |
5.5410719280289 |
L(r)(E,1)/r! |
Ω |
0.066354893813907 |
Real period |
R |
5.964757522061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280p1 17640bo1 88200en1 17640b1 |
Quadratic twists by: -4 -3 5 -7 |