Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296ba |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
2255954706432 = 216 · 35 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18593,966975] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:672:1] [61:252:1] |
Generators of the group modulo torsion |
j |
10847147534500/34423137 |
j-invariant |
L |
12.538381376432 |
L(r)(E,1)/r! |
Ω |
0.82383308993 |
Real period |
R |
0.76097825699633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bd1 9912k1 |
Quadratic twists by: -4 8 |