Atkin-Lehner |
2- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736l |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
24724343619584 = 219 · 72 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 5 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12827,-505398] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:74:1] |
Generators of the group modulo torsion |
j |
56982178438641/6036216704 |
j-invariant |
L |
6.740570775077 |
L(r)(E,1)/r! |
Ω |
0.45168423764914 |
Real period |
R |
1.2435993650953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842l1 |
Quadratic twists by: -4 |