Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690n |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-90403651584000 = -1 · 217 · 38 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 3 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11196,34128] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
253143649991/147456000 |
j-invariant |
L |
5.4444176317124 |
L(r)(E,1)/r! |
Ω |
0.36416852293261 |
Real period |
R |
2.4917116152352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230x1 75690bp1 |
Quadratic twists by: -3 29 |