Atkin-Lehner |
2+ 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350d |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-22173004800 = -1 · 210 · 34 · 52 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1660,26320] |
[a1,a2,a3,a4,a6] |
Generators |
[24:20:1] [31:61:1] |
Generators of the group modulo torsion |
j |
-20254274413105/886920192 |
j-invariant |
L |
7.7382536892199 |
L(r)(E,1)/r! |
Ω |
1.1953187750188 |
Real period |
R |
0.80922489577377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94350cl1 |
Quadratic twists by: 5 |