Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304bw |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
397825504247808 = 216 · 34 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2664097,1674570913] |
[a1,a2,a3,a4,a6] |
Generators |
[4770659:-7439580:4913] |
Generators of the group modulo torsion |
j |
271210066309732/51597 |
j-invariant |
L |
7.4292465969633 |
L(r)(E,1)/r! |
Ω |
0.42096361705741 |
Real period |
R |
8.8240957651468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ie4 15288bd4 17472w3 |
Quadratic twists by: -4 8 -7 |