Atkin-Lehner |
2+ 3+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008d |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
167629824 = 210 · 34 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -4 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21440,1215504] |
[a1,a2,a3,a4,a6] |
Generators |
[86:-18:1] [100:248:1] |
Generators of the group modulo torsion |
j |
1064433059792644/163701 |
j-invariant |
L |
10.489930893262 |
L(r)(E,1)/r! |
Ω |
1.4188361938984 |
Real period |
R |
0.92416683989079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48504d1 |
Quadratic twists by: -4 |