Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690f |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.2991942529648E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78586875,267605410581] |
[a1,a2,a3,a4,a6] |
Generators |
[5826:-89403:1] |
Generators of the group modulo torsion |
j |
73628549562506871957390001/178215946908754500240 |
j-invariant |
L |
2.2967913455386 |
L(r)(E,1)/r! |
Ω |
0.10436028810138 |
Real period |
R |
2.2008288663477 |
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 |
10230bg3 |
Quadratic twists by: -3 |