Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850bm |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2054398500 = 22 · 32 · 53 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1040,12300] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:116:1] [10:-60:1] |
Generators of the group modulo torsion |
j |
2905841483/47916 |
j-invariant |
L |
7.1032014666732 |
L(r)(E,1)/r! |
Ω |
1.4731572692367 |
Real period |
R |
0.40181280567278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850hj1 80850dg1 |
Quadratic twists by: 5 -7 |