Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306o |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4959905033623327686 = 2 · 35 · 194 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1279662,-547307259] |
[a1,a2,a3,a4,a6] |
Generators |
[74120741524154152914:7217303145281971825389:7629317326375928] |
Generators of the group modulo torsion |
j |
1565462029054897/33504747174 |
j-invariant |
L |
8.7218938609417 |
L(r)(E,1)/r! |
Ω |
0.14213176400447 |
Real period |
R |
30.682423179789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2622d2 |
Quadratic twists by: -23 |