Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650by |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-879083520000000 = -1 · 220 · 3 · 57 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19412,-967219] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1513:1] |
Generators of the group modulo torsion |
j |
51774168853511/56261345280 |
j-invariant |
L |
7.8790487263898 |
L(r)(E,1)/r! |
Ω |
0.26980968198718 |
Real period |
R |
1.4601123035758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330h1 |
Quadratic twists by: 5 |