Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bu |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
-7.7383861895279E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-854672,521456064] |
[a1,a2,a3,a4,a6] |
Generators |
[-488:28672:1] |
Generators of the group modulo torsion |
j |
-16856317425118992913/18892544408027136 |
j-invariant |
L |
3.6530274871407 |
L(r)(E,1)/r! |
Ω |
0.17534208280374 |
Real period |
R |
2.6042147365188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778v1 |
Quadratic twists by: -4 |