Atkin-Lehner |
2- 5- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
123280i |
Isogeny class |
Conductor |
123280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-41298800 = -1 · 24 · 52 · 23 · 672 |
Discriminant |
Eigenvalues |
2- -1 5- 2 6 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70,407] |
[a1,a2,a3,a4,a6] |
Generators |
[49:335:1] |
Generators of the group modulo torsion |
j |
-2404846336/2581175 |
j-invariant |
L |
7.7004920980431 |
L(r)(E,1)/r! |
Ω |
1.850261740684 |
Real period |
R |
1.0404598320726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30820e1 |
Quadratic twists by: -4 |