Atkin-Lehner |
2- 3+ 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370t |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
45408 |
Modular degree for the optimal curve |
Δ |
298321920 = 211 · 33 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8331,289209] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-42:1] |
Generators of the group modulo torsion |
j |
63946734783832369/298321920 |
j-invariant |
L |
6.0271006432224 |
L(r)(E,1)/r! |
Ω |
1.525685228358 |
Real period |
R |
0.35912928178682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97110bh1 |
Quadratic twists by: -3 |