Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480bp |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-2264192000000000 = -1 · 216 · 59 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88216,10312084] |
[a1,a2,a3,a4,a6] |
j |
-378281142378601/11281250000 |
j-invariant |
L |
1.8382919477497 |
L(r)(E,1)/r! |
Ω |
0.45957299377537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310a1 74480ca1 |
Quadratic twists by: -4 -7 |