Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480i |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
33367040 = 210 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,-1078] |
[a1,a2,a3,a4,a6] |
Generators |
[29:132:1] |
Generators of the group modulo torsion |
j |
2634012/95 |
j-invariant |
L |
6.530384780444 |
L(r)(E,1)/r! |
Ω |
1.2676156196913 |
Real period |
R |
2.5758537051941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240a1 74480o1 |
Quadratic twists by: -4 -7 |