Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400eb |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-25826308480000 = -1 · 210 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -1 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4900,-205800] |
[a1,a2,a3,a4,a6] |
Generators |
[71071:607159:1331] |
Generators of the group modulo torsion |
j |
172800/343 |
j-invariant |
L |
5.2567213359554 |
L(r)(E,1)/r! |
Ω |
0.34934978757376 |
Real period |
R |
7.5235788355315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ka1 9800o1 78400r1 11200bm1 |
Quadratic twists by: -4 8 5 -7 |