Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74958m |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
126000 |
Modular degree for the optimal curve |
Δ |
210053004408 = 23 · 37 · 13 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14916,-702038] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:51:1] |
Generators of the group modulo torsion |
j |
397367373625/227448 |
j-invariant |
L |
6.6661115561299 |
L(r)(E,1)/r! |
Ω |
0.43202101150149 |
Real period |
R |
2.2042947577016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958c1 |
Quadratic twists by: -31 |