Atkin-Lehner |
2- 3+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bq |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
969546240000 = 212 · 33 · 54 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2477,-1899] |
[a1,a2,a3,a4,a6] |
Generators |
[111:984:1] [-39:204:1] |
Generators of the group modulo torsion |
j |
62226243584883/35909120000 |
j-invariant |
L |
15.872892792002 |
L(r)(E,1)/r! |
Ω |
0.73830501535382 |
Real period |
R |
0.44789790074205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110d1 |
Quadratic twists by: -3 |