Atkin-Lehner |
3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525ba |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
678400 |
Modular degree for the optimal curve |
Δ |
-120674737669921875 = -1 · 34 · 59 · 11 · 375 |
Discriminant |
Eigenvalues |
0 3- 5- -1 11+ 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3036833,-2038027006] |
[a1,a2,a3,a4,a6] |
Generators |
[307102:170183584:1] |
Generators of the group modulo torsion |
j |
-1585829696729513984/61785465687 |
j-invariant |
L |
5.4045479174645 |
L(r)(E,1)/r! |
Ω |
0.057182521820474 |
Real period |
R |
11.814247923588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575bu1 30525n1 |
Quadratic twists by: -3 5 |