Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550y |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1620000 |
Modular degree for the optimal curve |
Δ |
757776327420000 = 25 · 3 · 54 · 7 · 715 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1427125,-656801075] |
[a1,a2,a3,a4,a6] |
Generators |
[-1515813:836042:2197] |
Generators of the group modulo torsion |
j |
514316210018298786025/1212442123872 |
j-invariant |
L |
2.8105035266719 |
L(r)(E,1)/r! |
Ω |
0.13812874723194 |
Real period |
R |
4.0693969678671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550do2 |
Quadratic twists by: 5 |