Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789f |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3290588764407 = 39 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90239193,329967079434] |
[a1,a2,a3,a4,a6] |
Generators |
[6098718299100:-3053927374707:1111934656] |
Generators of the group modulo torsion |
j |
947531277805646290177/38367 |
j-invariant |
L |
4.3975307325534 |
L(r)(E,1)/r! |
Ω |
0.29426279920152 |
Real period |
R |
14.944229255231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4263g3 1827b3 |
Quadratic twists by: -3 -7 |