Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75429a |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-6792501420654219 = -1 · 39 · 177 · 292 |
Discriminant |
Eigenvalues |
0 3+ -1 -4 -1 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,31212,-3349438] |
[a1,a2,a3,a4,a6] |
Generators |
[238:-4191:1] |
Generators of the group modulo torsion |
j |
7077888/14297 |
j-invariant |
L |
2.4089351783884 |
L(r)(E,1)/r! |
Ω |
0.21939704377825 |
Real period |
R |
1.3724747241028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75429b1 4437b1 |
Quadratic twists by: -3 17 |