Atkin-Lehner |
2- 3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232p |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
785664 |
Modular degree for the optimal curve |
Δ |
-217977886605312 = -1 · 223 · 33 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-379923,-90137390] |
[a1,a2,a3,a4,a6] |
Generators |
[3777464915:181796530944:1520875] |
Generators of the group modulo torsion |
j |
-54838650358603467/1971009536 |
j-invariant |
L |
10.460650196515 |
L(r)(E,1)/r! |
Ω |
0.096148989878633 |
Real period |
R |
13.599532101149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12654a1 101232q1 |
Quadratic twists by: -4 -3 |