Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450cz |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
966 |
Product of Tamagawa factors cp |
deg |
649152 |
Modular degree for the optimal curve |
Δ |
-1.9183895942529E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 0 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,463547,172232897] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:7079:1] |
Generators of the group modulo torsion |
j |
88124154817223482651/153471167540232192 |
j-invariant |
L |
9.8733119184339 |
L(r)(E,1)/r! |
Ω |
0.14880504109798 |
Real period |
R |
0.06868597808195 |
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 |
91350cf1 30450u1 |
Quadratic twists by: -3 5 |