Atkin-Lehner |
3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76893b |
Isogeny class |
Conductor |
76893 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26640 |
Modular degree for the optimal curve |
Δ |
-442211643 = -1 · 35 · 192 · 712 |
Discriminant |
Eigenvalues |
-1 3+ -2 -3 0 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74,1010] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:34:1] [-4:37:1] |
Generators of the group modulo torsion |
j |
-124244857/1224963 |
j-invariant |
L |
4.5764089435355 |
L(r)(E,1)/r! |
Ω |
1.4260503023224 |
Real period |
R |
1.6045748652749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76893g1 |
Quadratic twists by: -19 |