Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650f |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-242125537500000 = -1 · 25 · 33 · 58 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6183,723341] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-977:1] |
Generators of the group modulo torsion |
j |
61958108493/573927200 |
j-invariant |
L |
4.1483463474972 |
L(r)(E,1)/r! |
Ω |
0.40752516965059 |
Real period |
R |
0.63621014363563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650co2 6930s2 |
Quadratic twists by: -3 5 |