Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bv |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-222012304686703125 = -1 · 37 · 56 · 710 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-841601,-298105027] |
[a1,a2,a3,a4,a6] |
Generators |
[2505177375:51626550053:1953125] |
Generators of the group modulo torsion |
j |
-14936239633/50301 |
j-invariant |
L |
8.4257708998173 |
L(r)(E,1)/r! |
Ω |
0.078796239541944 |
Real period |
R |
15.275875652366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381g1 84525c1 |
Quadratic twists by: 5 -7 |