Atkin-Lehner |
2- 3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232q |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2356992 |
Modular degree for the optimal curve |
Δ |
-158905879335272448 = -1 · 223 · 39 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3419307,2433709530] |
[a1,a2,a3,a4,a6] |
Generators |
[1263:11394:1] |
Generators of the group modulo torsion |
j |
-54838650358603467/1971009536 |
j-invariant |
L |
4.8091710644176 |
L(r)(E,1)/r! |
Ω |
0.30288668204614 |
Real period |
R |
3.9694474682601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999408351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12654j1 101232p1 |
Quadratic twists by: -4 -3 |