Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525u |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-9788902323046875 = -1 · 33 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 3 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32262008,70542593918] |
[a1,a2,a3,a4,a6] |
Generators |
[26234:339:8] |
Generators of the group modulo torsion |
j |
-5889731858034688/15525 |
j-invariant |
L |
2.7054020339403 |
L(r)(E,1)/r! |
Ω |
0.26880415432432 |
Real period |
R |
2.5161460334193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905ba1 84525cs1 |
Quadratic twists by: 5 -7 |