Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968dn |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-326020464 = -1 · 24 · 37 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4521,117007] |
[a1,a2,a3,a4,a6] |
Generators |
[38:9:1] |
Generators of the group modulo torsion |
j |
-658266368/21 |
j-invariant |
L |
9.7106386365969 |
L(r)(E,1)/r! |
Ω |
1.5994352307282 |
Real period |
R |
0.75891152112644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492bb1 40656cc1 121968fg1 |
Quadratic twists by: -4 -3 -11 |