Atkin-Lehner |
2+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
80752f |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
121856 |
Modular degree for the optimal curve |
Δ |
-8512351275008 = -1 · 211 · 79 · 103 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 0 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6288,-239884] |
[a1,a2,a3,a4,a6] |
Generators |
[94:92:1] |
Generators of the group modulo torsion |
j |
-332750/103 |
j-invariant |
L |
7.9077809604117 |
L(r)(E,1)/r! |
Ω |
0.26387775691348 |
Real period |
R |
3.745948999958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40376f1 80752c1 |
Quadratic twists by: -4 -7 |