Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525c |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1887073453125 = -1 · 37 · 56 · 74 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17175,861750] |
[a1,a2,a3,a4,a6] |
Generators |
[854:24270:1] |
Generators of the group modulo torsion |
j |
-14936239633/50301 |
j-invariant |
L |
5.6392162668612 |
L(r)(E,1)/r! |
Ω |
0.83638324605491 |
Real period |
R |
6.742383103699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381l1 84525bv1 |
Quadratic twists by: 5 -7 |