Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282u |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
5194339352244 = 22 · 37 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 4 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-244952,46560485] |
[a1,a2,a3,a4,a6] |
Generators |
[265:455:1] |
Generators of the group modulo torsion |
j |
281956734497473/901044 |
j-invariant |
L |
5.6478159580809 |
L(r)(E,1)/r! |
Ω |
0.66811442034007 |
Real period |
R |
1.4088943914741 |
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 |
90846y1 30282bp1 |
Quadratic twists by: -3 -7 |