Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cf |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-587325967777395000 = -1 · 23 · 37 · 54 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48258,-36657684] |
[a1,a2,a3,a4,a6] |
Generators |
[315:2961:1] |
Generators of the group modulo torsion |
j |
27278410559375/1289055622008 |
j-invariant |
L |
4.788229085731 |
L(r)(E,1)/r! |
Ω |
0.13909239622171 |
Real period |
R |
1.9124893539187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11550cr2 34650db2 |
Quadratic twists by: -3 5 |