Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110br |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
362601371059200 = 210 · 33 · 52 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59046,-5470557] |
[a1,a2,a3,a4,a6] |
j |
564174247447/8985600 |
j-invariant |
L |
3.0656400765407 |
L(r)(E,1)/r! |
Ω |
0.30656400765407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330co1 95550dl1 19110cy1 |
Quadratic twists by: -3 5 -7 |