Atkin-Lehner |
2+ 3- 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990l |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-65685078835200 = -1 · 215 · 38 · 52 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-95634,-11366060] |
[a1,a2,a3,a4,a6] |
Generators |
[1271:43172:1] |
Generators of the group modulo torsion |
j |
-132689238373647649/90102988800 |
j-invariant |
L |
4.5353205014764 |
L(r)(E,1)/r! |
Ω |
0.1357371039489 |
Real period |
R |
4.1765666621942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33330g1 |
Quadratic twists by: -3 |