Atkin-Lehner |
2+ 3- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630x |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-929416400437248000 = -1 · 218 · 312 · 53 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,243225,4384125] |
[a1,a2,a3,a4,a6] |
Generators |
[141:6369:1] [2583:132354:1] |
Generators of the group modulo torsion |
j |
2182829505868371599/1274919616512000 |
j-invariant |
L |
7.4051405294767 |
L(r)(E,1)/r! |
Ω |
0.16898301005985 |
Real period |
R |
10.955451271904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30210bm1 |
Quadratic twists by: -3 |