Atkin-Lehner |
2+ 3- 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270i |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-36559350 = -1 · 2 · 36 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36,270] |
[a1,a2,a3,a4,a6] |
Generators |
[1:17:1] |
Generators of the group modulo torsion |
j |
6967871/50150 |
j-invariant |
L |
4.6671613954716 |
L(r)(E,1)/r! |
Ω |
1.4974685398582 |
Real period |
R |
1.5583503969027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030k1 |
Quadratic twists by: -3 |