Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
48480w |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
240768 |
Modular degree for the optimal curve |
Δ |
-7512858122688000 = -1 · 29 · 319 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41840,2571308] |
[a1,a2,a3,a4,a6] |
Generators |
[71:2430:1] |
Generators of the group modulo torsion |
j |
15820434201386872/14673551020875 |
j-invariant |
L |
7.712973594564 |
L(r)(E,1)/r! |
Ω |
0.27314712575545 |
Real period |
R |
0.49539355702974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48480m1 96960bv1 |
Quadratic twists by: -4 8 |