Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930q |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
30564418500 = 22 · 38 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218349,39325905] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:7977:1] |
Generators of the group modulo torsion |
j |
1579250141304807889/41926500 |
j-invariant |
L |
3.3766826587998 |
L(r)(E,1)/r! |
Ω |
0.85598740585941 |
Real period |
R |
1.9723903854693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440ed3 2310u3 34650dd3 48510bc3 |
Quadratic twists by: -4 -3 5 -7 |