Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122525c |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1585682175390625 = -1 · 58 · 136 · 292 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9770,1877022] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-1855:1] |
Generators of the group modulo torsion |
j |
1367631/21025 |
j-invariant |
L |
3.7242314031448 |
L(r)(E,1)/r! |
Ω |
0.35297675141152 |
Real period |
R |
1.3188657154341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997768378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24505c2 725a2 |
Quadratic twists by: 5 13 |