Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30276n |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
318240 |
Modular degree for the optimal curve |
Δ |
-20268649828737792 = -1 · 28 · 323 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 1 -2 6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19488,-6929260] |
[a1,a2,a3,a4,a6] |
Generators |
[1532520040:237143795499:64000] |
Generators of the group modulo torsion |
j |
-5215092736/129140163 |
j-invariant |
L |
7.7894868747693 |
L(r)(E,1)/r! |
Ω |
0.16645897092995 |
Real period |
R |
11.698809068764 |
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 |
121104ci1 10092b1 30276t1 |
Quadratic twists by: -4 -3 29 |