Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958k |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-183738310870892544 = -1 · 216 · 35 · 13 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18760,-20648554] |
[a1,a2,a3,a4,a6] |
Generators |
[74667159:-195408683:250047] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
8.3766484627006 |
L(r)(E,1)/r! |
Ω |
0.14290552731546 |
Real period |
R |
11.723337254972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78a1 |
Quadratic twists by: -31 |