Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382bo |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-754369152768 = -1 · 28 · 32 · 76 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2057,21545] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:133:1] |
Generators of the group modulo torsion |
j |
8181353375/6412032 |
j-invariant |
L |
13.238383057204 |
L(r)(E,1)/r! |
Ω |
0.57777449584882 |
Real period |
R |
1.4320447629655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1518m1 |
Quadratic twists by: -7 |