Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970q |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
7077888 |
Modular degree for the optimal curve |
Δ |
-7.8017166184242E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14255775,24697778125] |
[a1,a2,a3,a4,a6] |
Generators |
[8675:739850:1] |
Generators of the group modulo torsion |
j |
-3735772816268612449/909650165760000 |
j-invariant |
L |
3.9107090130712 |
L(r)(E,1)/r! |
Ω |
0.10351462088827 |
Real period |
R |
2.3612057049811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bs1 10710l1 |
Quadratic twists by: -3 -7 |