Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350a |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19318801330125000 = -1 · 23 · 34 · 56 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,63650,-2526500] |
[a1,a2,a3,a4,a6] |
Generators |
[345:7615:1] |
Generators of the group modulo torsion |
j |
1825106655603743/1236403285128 |
j-invariant |
L |
4.0364816111929 |
L(r)(E,1)/r! |
Ω |
0.2188905646942 |
Real period |
R |
4.6101594383843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050dd3 1254i4 |
Quadratic twists by: -3 5 |