Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bb |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
150480 |
Modular degree for the optimal curve |
Δ |
-30380000000000 = -1 · 211 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1550,-263500] |
[a1,a2,a3,a4,a6] |
Generators |
[5876:49185:64] |
Generators of the group modulo torsion |
j |
859775/63488 |
j-invariant |
L |
2.4237083719575 |
L(r)(E,1)/r! |
Ω |
0.31469372600647 |
Real period |
R |
7.7018007414064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950dj1 75950b1 |
Quadratic twists by: 5 -7 |