Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200i |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-307825100000000 = -1 · 28 · 58 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20575,-1415250] |
[a1,a2,a3,a4,a6] |
Generators |
[21495:595700:27] |
Generators of the group modulo torsion |
j |
-240814843344/76956275 |
j-invariant |
L |
6.7868226664641 |
L(r)(E,1)/r! |
Ω |
0.19611585721917 |
Real period |
R |
4.3257737774223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50600a2 20240e2 |
Quadratic twists by: -4 5 |