Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400dz |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
737894528000 = 210 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15680,754600] |
[a1,a2,a3,a4,a6] |
Generators |
[25:615:1] |
Generators of the group modulo torsion |
j |
28311552/49 |
j-invariant |
L |
6.5544207332966 |
L(r)(E,1)/r! |
Ω |
0.90086050107427 |
Real period |
R |
3.63786664375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400js1 4900q1 78400ea1 11200bl1 |
Quadratic twists by: -4 8 5 -7 |