Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94017f |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-472140493671 = -1 · 3 · 74 · 116 · 37 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1696,-43325] |
[a1,a2,a3,a4,a6] |
Generators |
[12327618:-76507369:185193] |
Generators of the group modulo torsion |
j |
-304821217/266511 |
j-invariant |
L |
4.5295641442766 |
L(r)(E,1)/r! |
Ω |
0.35882089510668 |
Real period |
R |
12.623468156027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
777d1 |
Quadratic twists by: -11 |