Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690c |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-11923114504780800 = -1 · 210 · 33 · 52 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11196,5230928] |
[a1,a2,a3,a4,a6] |
j |
9663597/742400 |
j-invariant |
L |
2.4555309538748 |
L(r)(E,1)/r! |
Ω |
0.30694137232163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690y1 2610i1 |
Quadratic twists by: -3 29 |