Atkin-Lehner |
3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30303i |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
29226243501 = 311 · 73 · 13 · 37 |
Discriminant |
Eigenvalues |
2 3- 3 7- -1 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1011,9243] |
[a1,a2,a3,a4,a6] |
Generators |
[34:563:8] |
Generators of the group modulo torsion |
j |
156765196288/40090869 |
j-invariant |
L |
13.713821407859 |
L(r)(E,1)/r! |
Ω |
1.1037442436479 |
Real period |
R |
1.03540150468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10101e1 |
Quadratic twists by: -3 |