Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690b |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4063847519531250 = 2 · 39 · 510 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57660,4372550] |
[a1,a2,a3,a4,a6] |
Generators |
[71:760:1] |
Generators of the group modulo torsion |
j |
1077111271317843/206464843750 |
j-invariant |
L |
4.4175712682924 |
L(r)(E,1)/r! |
Ω |
0.4171508319058 |
Real period |
R |
5.2949328281453 |
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 |
30690x2 |
Quadratic twists by: -3 |