Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712a |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
9965568733913808 = 24 · 38 · 377 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53847,267462] |
[a1,a2,a3,a4,a6] |
Generators |
[100020426:5257406294:35937] |
Generators of the group modulo torsion |
j |
420616192/242757 |
j-invariant |
L |
7.2434374444075 |
L(r)(E,1)/r! |
Ω |
0.34667830642843 |
Real period |
R |
10.446914776745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856m1 1776a1 |
Quadratic twists by: -4 37 |