Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224v |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-130579070976 = -1 · 215 · 35 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -1 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5240,-145296] |
[a1,a2,a3,a4,a6] |
Generators |
[396:7728:1] |
Generators of the group modulo torsion |
j |
-3885442650361/31879656 |
j-invariant |
L |
5.8490183165303 |
L(r)(E,1)/r! |
Ω |
0.28042526058263 |
Real period |
R |
2.6072090939571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278f1 102672ci1 |
Quadratic twists by: -4 -3 |