Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bo |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
1394783295897600 = 218 · 33 · 52 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43660,-3034963] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:273:1] |
Generators of the group modulo torsion |
j |
78232514242609/11855462400 |
j-invariant |
L |
8.778446633246 |
L(r)(E,1)/r! |
Ω |
0.33363556667579 |
Real period |
R |
1.4617490712451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2010j1 |
Quadratic twists by: -7 |