Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700q |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2481165168750000 = -1 · 24 · 314 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -1 0 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12000,-2449375] |
[a1,a2,a3,a4,a6] |
Generators |
[175:900:1] [700:18225:1] |
Generators of the group modulo torsion |
j |
-41943040/544563 |
j-invariant |
L |
10.494733443524 |
L(r)(E,1)/r! |
Ω |
0.19550890523597 |
Real period |
R |
1.4910848847629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900h1 74700k1 |
Quadratic twists by: -3 5 |