Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096h |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-138768468081408 = -1 · 28 · 311 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12660,-143588] |
[a1,a2,a3,a4,a6] |
Generators |
[449:9801:1] |
Generators of the group modulo torsion |
j |
1202423168000/743572467 |
j-invariant |
L |
5.9151062978629 |
L(r)(E,1)/r! |
Ω |
0.33617960011769 |
Real period |
R |
0.87975390175253 |
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 |
15048e1 120384cu1 10032d1 |
Quadratic twists by: -4 8 -3 |