Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320j |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1187546736640 = -1 · 211 · 5 · 114 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3376,90804] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:308:1] [20:-178:1] |
Generators of the group modulo torsion |
j |
-2078402753378/579856805 |
j-invariant |
L |
6.1210723214126 |
L(r)(E,1)/r! |
Ω |
0.82167392393561 |
Real period |
R |
0.93118939022864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160i2 |
Quadratic twists by: -4 |