Atkin-Lehner |
3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723k |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-58561364717163 = -1 · 39 · 76 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17803,991605] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-270:1] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
3.5114912849978 |
L(r)(E,1)/r! |
Ω |
0.61111854436094 |
Real period |
R |
0.95766779277107 |
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 |
92169k1 627b1 |
Quadratic twists by: -3 -7 |