Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42700p |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
23400 |
Modular degree for the optimal curve |
Δ |
-10252270000 = -1 · 24 · 54 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -6 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,400,-3775] |
[a1,a2,a3,a4,a6] |
Generators |
[10:35:1] |
Generators of the group modulo torsion |
j |
707788800/1025227 |
j-invariant |
L |
4.9460615910249 |
L(r)(E,1)/r! |
Ω |
0.6823020868883 |
Real period |
R |
0.161090639927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42700b1 |
Quadratic twists by: 5 |