Atkin-Lehner |
3+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74175h |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2386991281675078125 = -1 · 310 · 57 · 234 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2878250,-1882162875] |
[a1,a2,a3,a4,a6] |
Generators |
[2620:91265:1] [3356:160403:1] |
Generators of the group modulo torsion |
j |
-168767750555628815521/152767442027205 |
j-invariant |
L |
9.2046555776972 |
L(r)(E,1)/r! |
Ω |
0.05795138733957 |
Real period |
R |
9.9271303071051 |
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 |
14835g2 |
Quadratic twists by: 5 |