Atkin-Lehner |
2+ 5- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75050g |
Isogeny class |
Conductor |
75050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
699360 |
Modular degree for the optimal curve |
Δ |
-38277553848320000 = -1 · 231 · 54 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-229826,-43459052] |
[a1,a2,a3,a4,a6] |
Generators |
[556:567:1] |
Generators of the group modulo torsion |
j |
-2148020658032115625/61244086157312 |
j-invariant |
L |
3.4313719731771 |
L(r)(E,1)/r! |
Ω |
0.10884039249532 |
Real period |
R |
5.254440155378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75050j1 |
Quadratic twists by: 5 |