Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cd |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
5806379097792 = 26 · 33 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4524,-15210] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1274:1] |
Generators of the group modulo torsion |
j |
1360251712/771147 |
j-invariant |
L |
3.9424885842855 |
L(r)(E,1)/r! |
Ω |
0.62820340713665 |
Real period |
R |
3.1379076158196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000185694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304eh1 61152bt3 2496h1 |
Quadratic twists by: -4 8 -7 |