Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370k |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
218332800 |
Modular degree for the optimal curve |
Δ |
-11787865084800000 = -1 · 210 · 32 · 55 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -3 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118359846112,-15673141982621696] |
[a1,a2,a3,a4,a6] |
Generators |
[71574880698820613816281434495049248:136106430702371779555547787866319736096:19601216964800809822800035901] |
Generators of the group modulo torsion |
j |
-31809186871649321341815580835401/2044800000 |
j-invariant |
L |
4.523410364468 |
L(r)(E,1)/r! |
Ω |
0.0040697568334407 |
Real period |
R |
55.573472194945 |
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 |
104370bp1 |
Quadratic twists by: -7 |