Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200u |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
61603840000000 = 224 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 3 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57633,5292863] |
[a1,a2,a3,a4,a6] |
j |
5168743489/15040 |
j-invariant |
L |
2.5005516524819 |
L(r)(E,1)/r! |
Ω |
0.62513792051164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cj1 2350c1 15040j1 |
Quadratic twists by: -4 8 5 |