Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490d |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
2.6660817773317E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1609038,-3549132] |
[a1,a2,a3,a4,a6] |
Generators |
[-31353:483916:27] |
Generators of the group modulo torsion |
j |
3915928883952048601/2266132119552000 |
j-invariant |
L |
2.8448312808841 |
L(r)(E,1)/r! |
Ω |
0.14717059209291 |
Real period |
R |
9.6650806197939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070f1 |
Quadratic twists by: -7 |