Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872h |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-581199454580742144 = -1 · 211 · 35 · 73 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207544,51739276] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:7406:1] |
Generators of the group modulo torsion |
j |
-3261064466/1917027 |
j-invariant |
L |
7.8264538250391 |
L(r)(E,1)/r! |
Ω |
0.26929506367175 |
Real period |
R |
2.4218954338755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3864b1 |
Quadratic twists by: -23 |