Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bf |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-6980813710937500 = -1 · 22 · 510 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18350,3912000] |
[a1,a2,a3,a4,a6] |
Generators |
[384:8040:1] |
Generators of the group modulo torsion |
j |
371694959/3797500 |
j-invariant |
L |
7.3473918132536 |
L(r)(E,1)/r! |
Ω |
0.30879287282645 |
Real period |
R |
2.9742395549032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190z1 10850d1 |
Quadratic twists by: 5 -7 |