Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050v |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5391360 |
Modular degree for the optimal curve |
Δ |
550618236675000000 = 26 · 33 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29710992,62341252416] |
[a1,a2,a3,a4,a6] |
Generators |
[-1056:304728:1] [6069:321828:1] |
Generators of the group modulo torsion |
j |
337135557915/64 |
j-invariant |
L |
6.8410957081354 |
L(r)(E,1)/r! |
Ω |
0.23038008524118 |
Real period |
R |
7.4237055917878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999554 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76050dz2 76050dn1 76050dy1 |
Quadratic twists by: -3 5 13 |