Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320g |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74368 |
Modular degree for the optimal curve |
Δ |
-10980023040 = -1 · 28 · 36 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -5 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-468,6372] |
[a1,a2,a3,a4,a6] |
Generators |
[22:82:1] |
Generators of the group modulo torsion |
j |
-60742656/58835 |
j-invariant |
L |
6.4670512913913 |
L(r)(E,1)/r! |
Ω |
1.1658850575913 |
Real period |
R |
0.69336287345926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11480g1 |
Quadratic twists by: -3 |