Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723t |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
100422493296741 = 35 · 711 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11- -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-91646,-10637320] |
[a1,a2,a3,a4,a6] |
Generators |
[-4821:-1214:27] [-170:24:1] |
Generators of the group modulo torsion |
j |
723570336280576/853577109 |
j-invariant |
L |
3.5168794703848 |
L(r)(E,1)/r! |
Ω |
0.27441101722409 |
Real period |
R |
3.2040253940615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169x1 4389k1 |
Quadratic twists by: -3 -7 |