Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bd |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1087655813671875 = -1 · 3 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- -1 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34708,-2940057] |
[a1,a2,a3,a4,a6] |
Generators |
[1635545733852755202:17509520092324328373:5876630968631912] |
Generators of the group modulo torsion |
j |
-100618240/23667 |
j-invariant |
L |
9.7512557841765 |
L(r)(E,1)/r! |
Ω |
0.17273581523852 |
Real period |
R |
28.225923415801 |
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 |
84525cr1 12075v1 |
Quadratic twists by: 5 -7 |