Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bx |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-27946078125 = -1 · 3 · 56 · 72 · 233 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-901,13073] |
[a1,a2,a3,a4,a6] |
Generators |
[-76089:157669:2197] |
Generators of the group modulo torsion |
j |
-105484561/36501 |
j-invariant |
L |
10.160124156017 |
L(r)(E,1)/r! |
Ω |
1.1156047939041 |
Real period |
R |
9.1072790382611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381f1 84525d1 |
Quadratic twists by: 5 -7 |