Atkin-Lehner |
2- 3- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270bc |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
-5.3338204495896E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3541442,2590022081] |
[a1,a2,a3,a4,a6] |
Generators |
[225:42367:1] |
Generators of the group modulo torsion |
j |
-6738084754697016663769/73166261311242240 |
j-invariant |
L |
11.371015208636 |
L(r)(E,1)/r! |
Ω |
0.20022374353419 |
Real period |
R |
1.1831571304797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013765 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30090b1 |
Quadratic twists by: -3 |