Atkin-Lehner |
3+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74175h |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1367040 |
Modular degree for the optimal curve |
Δ |
2159187890625 = 35 · 58 · 232 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2878875,-1881306000] |
[a1,a2,a3,a4,a6] |
Generators |
[2384:68176:1] [3920:215040:1] |
Generators of the group modulo torsion |
j |
168877716053242227121/138188025 |
j-invariant |
L |
9.2046555776972 |
L(r)(E,1)/r! |
Ω |
0.11590277467914 |
Real period |
R |
39.70852122842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14835g1 |
Quadratic twists by: 5 |