Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525ce |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
-1.1505212102932E+22 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,880367,-5150565731] |
[a1,a2,a3,a4,a6] |
j |
17096769536/2606718915 |
j-invariant |
L |
2.4076474626784 |
L(r)(E,1)/r! |
Ω |
0.060191186015048 |
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 |
16905i1 84525e1 |
Quadratic twists by: 5 -7 |