Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370bp |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31190400 |
Modular degree for the optimal curve |
Δ |
-100195200000 = -1 · 210 · 32 · 55 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 3 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2415507064,45693946422086] |
[a1,a2,a3,a4,a6] |
j |
-31809186871649321341815580835401/2044800000 |
j-invariant |
L |
2.8021917075286 |
L(r)(E,1)/r! |
Ω |
0.17513696429937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370k1 |
Quadratic twists by: -7 |