Atkin-Lehner |
5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
22525c |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
3302875790453125 = 56 · 175 · 533 |
Discriminant |
Eigenvalues |
-2 3 5+ 2 0 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37675,526156] |
[a1,a2,a3,a4,a6] |
Generators |
[-15415605:130687921:91125] |
Generators of the group modulo torsion |
j |
378497895469056/211384050589 |
j-invariant |
L |
5.1171599137291 |
L(r)(E,1)/r! |
Ω |
0.38673787219572 |
Real period |
R |
13.23159763143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901e1 |
Quadratic twists by: 5 |