Atkin-Lehner |
2- 3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214p |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
348549519626993664 = 232 · 39 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-217481,-26723959] |
[a1,a2,a3,a4,a6] |
Generators |
[843:19288:1] |
Generators of the group modulo torsion |
j |
1560480246518227273/478120054358016 |
j-invariant |
L |
8.3277400502769 |
L(r)(E,1)/r! |
Ω |
0.22635266844532 |
Real period |
R |
4.5988744613268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001136 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24738b1 |
Quadratic twists by: -3 |