Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42700b |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
117000 |
Modular degree for the optimal curve |
Δ |
-160191718750000 = -1 · 24 · 510 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -6 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10000,-471875] |
[a1,a2,a3,a4,a6] |
Generators |
[1523613:101571952:343] |
Generators of the group modulo torsion |
j |
707788800/1025227 |
j-invariant |
L |
3.7537647713711 |
L(r)(E,1)/r! |
Ω |
0.30513476949444 |
Real period |
R |
12.301989634239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42700p1 |
Quadratic twists by: 5 |