Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fn |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-329417200000000 = -1 · 210 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8167,828463] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1225:1] |
Generators of the group modulo torsion |
j |
1280/7 |
j-invariant |
L |
2.4741666416921 |
L(r)(E,1)/r! |
Ω |
0.3907651040949 |
Real period |
R |
1.0552659454925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ks1 4900t1 78400ci1 11200br1 |
Quadratic twists by: -4 8 5 -7 |