Atkin-Lehner |
3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525h |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
308367360 |
Modular degree for the optimal curve |
Δ |
-6.6956592310127E+29 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 6 7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5790717508,174119249970168] |
[a1,a2,a3,a4,a6] |
j |
-238405627771890579460096/7433425555969921875 |
j-invariant |
L |
1.3723071841485 |
L(r)(E,1)/r! |
Ω |
0.028589731671635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905w1 84525cu1 |
Quadratic twists by: 5 -7 |