Atkin-Lehner |
2+ 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424c |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-461073329160192 = -1 · 235 · 33 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11263,-928767] |
[a1,a2,a3,a4,a6] |
Generators |
[26886352:511793483:79507] |
Generators of the group modulo torsion |
j |
602708730623/1758855168 |
j-invariant |
L |
7.3101155244757 |
L(r)(E,1)/r! |
Ω |
0.27014843916389 |
Real period |
R |
13.529812627016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424ct1 2982i1 |
Quadratic twists by: -4 8 |