Atkin-Lehner |
2+ 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786u |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3883907848128 = -1 · 26 · 3 · 78 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2915,74173] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:767:8] [27:403:1] |
Generators of the group modulo torsion |
j |
23271176375/33012672 |
j-invariant |
L |
7.3027936136798 |
L(r)(E,1)/r! |
Ω |
0.53071608406237 |
Real period |
R |
3.4400660887508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398p1 |
Quadratic twists by: -7 |