Atkin-Lehner |
2- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410p |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
86413312000 = 215 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -3 5- -3 -5 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1377,14001] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:36:1] [-29:184:1] |
Generators of the group modulo torsion |
j |
288555807609441/86413312000 |
j-invariant |
L |
5.8998144616901 |
L(r)(E,1)/r! |
Ω |
0.99925392413713 |
Real period |
R |
0.065602438414638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280x1 111690k1 62050h1 |
Quadratic twists by: -4 -3 5 |