Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282r |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
121680 |
Modular degree for the optimal curve |
Δ |
6077718528 = 213 · 3 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-345892,-78443611] |
[a1,a2,a3,a4,a6] |
Generators |
[-116613:58183:343] |
Generators of the group modulo torsion |
j |
1906132924935321313/2531328 |
j-invariant |
L |
8.2784829795228 |
L(r)(E,1)/r! |
Ω |
0.19686314494214 |
Real period |
R |
3.2347668895942 |
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 |
90846v1 30282bn1 |
Quadratic twists by: -3 -7 |