Atkin-Lehner |
2- 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350bj |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-37141821000000 = -1 · 26 · 310 · 56 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -1 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17088,901281] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1853:1] |
Generators of the group modulo torsion |
j |
-35316607651129/2377076544 |
j-invariant |
L |
11.110818958115 |
L(r)(E,1)/r! |
Ω |
0.63912199970193 |
Real period |
R |
1.4487086656099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3774l1 |
Quadratic twists by: 5 |