Atkin-Lehner |
2+ 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118776c |
Isogeny class |
Conductor |
118776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
19958119421184 = 28 · 38 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -6 -5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13785,-580131] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:98:1] [-75:162:1] |
Generators of the group modulo torsion |
j |
9619385344/662661 |
j-invariant |
L |
9.9203297588809 |
L(r)(E,1)/r! |
Ω |
0.44251107314258 |
Real period |
R |
1.401141457375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2424e1 |
Quadratic twists by: -7 |