Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425z |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-8725770703125 = -1 · 32 · 58 · 72 · 373 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15326,742673] |
[a1,a2,a3,a4,a6] |
j |
-1019082645625/22337973 |
j-invariant |
L |
2.9311427540027 |
L(r)(E,1)/r! |
Ω |
0.73278568850067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58275bg1 19425c1 |
Quadratic twists by: -3 5 |