Atkin-Lehner |
2+ 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490b |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
664899840 = 28 · 34 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-388,2512] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:76:1] [-8:76:1] |
Generators of the group modulo torsion |
j |
6485846213449/664899840 |
j-invariant |
L |
4.2077913599409 |
L(r)(E,1)/r! |
Ω |
1.5683668659837 |
Real period |
R |
1.3414563426464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470bl1 87450cd1 |
Quadratic twists by: -3 5 |