Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
30744h |
Isogeny class |
Conductor |
30744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-1084400400384 = -1 · 211 · 311 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17211,870518] |
[a1,a2,a3,a4,a6] |
j |
-377645701106/726327 |
j-invariant |
L |
3.4924447270764 |
L(r)(E,1)/r! |
Ω |
0.87311118176954 |
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 |
61488c1 10248b1 |
Quadratic twists by: -4 -3 |