Atkin-Lehner |
5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98315b |
Isogeny class |
Conductor |
98315 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3686256 |
Modular degree for the optimal curve |
Δ |
2.3833787735599E+20 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ -4 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1588021,204439826] |
[a1,a2,a3,a4,a6] |
Generators |
[-936:29494:1] [12564:9700426:729] |
Generators of the group modulo torsion |
j |
7113539584/3828125 |
j-invariant |
L |
11.362878144211 |
L(r)(E,1)/r! |
Ω |
0.15376578253202 |
Real period |
R |
12.316218816091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98315g1 |
Quadratic twists by: 53 |