Atkin-Lehner |
3+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25935h |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3086209130433975 = 33 · 52 · 78 · 133 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-311616,-67030662] |
[a1,a2,a3,a4,a6] |
Generators |
[-324:389:1] |
Generators of the group modulo torsion |
j |
3346440016146907051009/3086209130433975 |
j-invariant |
L |
2.7626975849534 |
L(r)(E,1)/r! |
Ω |
0.20207782351795 |
Real period |
R |
0.56964389941002 |
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 |
77805bb2 129675t2 |
Quadratic twists by: -3 5 |