Atkin-Lehner |
2+ 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304b |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17152 |
Modular degree for the optimal curve |
Δ |
373824 = 26 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11+ 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214,-1136] |
[a1,a2,a3,a4,a6] |
Generators |
[19:36:1] |
Generators of the group modulo torsion |
j |
17014253248/5841 |
j-invariant |
L |
3.4325196983948 |
L(r)(E,1)/r! |
Ω |
1.2477744043373 |
Real period |
R |
2.7509136960091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304o1 124608dn1 |
Quadratic twists by: -4 8 |