Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576k |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
8222253312 = 28 · 3 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4524,118560] |
[a1,a2,a3,a4,a6] |
Generators |
[76:456:1] |
Generators of the group modulo torsion |
j |
340062928/273 |
j-invariant |
L |
4.4535093959354 |
L(r)(E,1)/r! |
Ω |
1.3003226751651 |
Real period |
R |
3.4249263517381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15288n1 122304hg1 91728bo1 4368f1 |
Quadratic twists by: -4 8 -3 -7 |