Atkin-Lehner |
2+ 3+ 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214a |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
332402724864 = 212 · 39 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1743,-3475] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:163:1] [47:106:1] |
Generators of the group modulo torsion |
j |
29762179299/16887808 |
j-invariant |
L |
7.2528887060223 |
L(r)(E,1)/r! |
Ω |
0.79764802315505 |
Real period |
R |
9.0928435794373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214n1 |
Quadratic twists by: -3 |