Atkin-Lehner |
5+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
22525h |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1669494948809328125 = 56 · 1710 · 53 |
Discriminant |
Eigenvalues |
1 -2 5+ 4 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-746576,240319173] |
[a1,a2,a3,a4,a6] |
Generators |
[1294:88361:8] |
Generators of the group modulo torsion |
j |
2945268712058640625/106847676723797 |
j-invariant |
L |
4.4982720838291 |
L(r)(E,1)/r! |
Ω |
0.26416629912572 |
Real period |
R |
3.4056365999119 |
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 |
901b2 |
Quadratic twists by: 5 |