Atkin-Lehner |
5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71825s |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
2047194878264453125 = 58 · 137 · 174 |
Discriminant |
Eigenvalues |
-2 -3 5- 2 -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-992875,-374519844] |
[a1,a2,a3,a4,a6] |
Generators |
[-624:1436:1] |
Generators of the group modulo torsion |
j |
57409966080/1085773 |
j-invariant |
L |
1.7524992647521 |
L(r)(E,1)/r! |
Ω |
0.15141703510135 |
Real period |
R |
1.4467487609352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71825i1 5525i1 |
Quadratic twists by: 5 13 |