Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650w |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
653738951250000 = 24 · 36 · 57 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4704567,3928779341] |
[a1,a2,a3,a4,a6] |
Generators |
[634:34333:1] |
Generators of the group modulo torsion |
j |
1010962818911303721/57392720 |
j-invariant |
L |
4.0813822651404 |
L(r)(E,1)/r! |
Ω |
0.38490597531507 |
Real period |
R |
0.66272390643589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850n3 6930bc4 |
Quadratic twists by: -3 5 |