Atkin-Lehner |
3+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30303a |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
90909 = 33 · 7 · 13 · 37 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 3 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
7077888/3367 |
j-invariant |
L |
4.6900344398888 |
L(r)(E,1)/r! |
Ω |
2.6880387866836 |
Real period |
R |
0.87238965135527 |
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 |
30303b1 |
Quadratic twists by: -3 |