Atkin-Lehner |
2+ 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bm |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-153307200000000 = -1 · 212 · 3 · 58 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-184076,30388298] |
[a1,a2,a3,a4,a6] |
Generators |
[302:1386:1] |
Generators of the group modulo torsion |
j |
-1765841793345625/392466432 |
j-invariant |
L |
7.1295535455553 |
L(r)(E,1)/r! |
Ω |
0.56196922058716 |
Real period |
R |
1.0572277616929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850br1 |
Quadratic twists by: 5 |