Atkin-Lehner |
2+ 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98022c |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2260779408 = -1 · 24 · 32 · 17 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-500,-5088] |
[a1,a2,a3,a4,a6] |
Generators |
[28:48:1] [29:62:1] |
Generators of the group modulo torsion |
j |
-15015625/2448 |
j-invariant |
L |
5.9259861688575 |
L(r)(E,1)/r! |
Ω |
0.50020342044742 |
Real period |
R |
0.98726270260622 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022i1 |
Quadratic twists by: -31 |