Atkin-Lehner |
2+ 3- 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370q |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-5492787187500000000 = -1 · 28 · 39 · 513 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-922374,359356468] |
[a1,a2,a3,a4,a6] |
Generators |
[-628:26594:1] [1606:107197:8] |
Generators of the group modulo torsion |
j |
-119046767162055048289/7534687500000000 |
j-invariant |
L |
8.2713990761385 |
L(r)(E,1)/r! |
Ω |
0.23728035397985 |
Real period |
R |
0.33518444359178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790o1 |
Quadratic twists by: -3 |