Atkin-Lehner |
2- 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cd |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-130036737318750000 = -1 · 24 · 37 · 58 · 194 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,125887,-2366719] |
[a1,a2,a3,a4,a6] |
Generators |
[61:2322:1] [175:4912:1] |
Generators of the group modulo torsion |
j |
302650970012134199/178376868750000 |
j-invariant |
L |
14.854367781704 |
L(r)(E,1)/r! |
Ω |
0.19310762866912 |
Real period |
R |
9.6153424154724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610t3 |
Quadratic twists by: -3 |