Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400eu |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-25088000000000 = -1 · 218 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-332932833,-2338096546463] |
[a1,a2,a3,a4,a6] |
Generators |
[4252391288161806277062507990379941300077583:16588154567685877588811870181898876773167231000:279449192546305707760018722757550449] |
Generators of the group modulo torsion |
j |
-162677523113838677 |
j-invariant |
L |
4.7956557623485 |
L(r)(E,1)/r! |
Ω |
0.01767178431583 |
Real period |
R |
67.843400482947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kh2 1225g2 78400eg2 78400dp2 |
Quadratic twists by: -4 8 5 -7 |