Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bi |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-2859341296000000 = -1 · 210 · 56 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25699,-2023752] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-4409:1] |
Generators of the group modulo torsion |
j |
1021147343/1555456 |
j-invariant |
L |
2.5326588207488 |
L(r)(E,1)/r! |
Ω |
0.23929222567919 |
Real period |
R |
1.3229947269376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038k1 10850b1 |
Quadratic twists by: 5 -7 |