Atkin-Lehner |
3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723l |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-2231838677554101 = -1 · 37 · 79 · 113 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 11- 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18915,-2491602] |
[a1,a2,a3,a4,a6] |
Generators |
[216:1778:1] |
Generators of the group modulo torsion |
j |
-18546494023/55307043 |
j-invariant |
L |
3.2045353494786 |
L(r)(E,1)/r! |
Ω |
0.18820237252055 |
Real period |
R |
2.8378453351048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169o1 30723bd1 |
Quadratic twists by: -3 -7 |