Atkin-Lehner |
3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94017k |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-2.9477055507348E+20 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1366209,552431664] |
[a1,a2,a3,a4,a6] |
Generators |
[-324:8874:1] [195606:30524877:8] |
Generators of the group modulo torsion |
j |
159191007134678063/166390293686463 |
j-invariant |
L |
10.486386536257 |
L(r)(E,1)/r! |
Ω |
0.11435535563201 |
Real period |
R |
22.92500092808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547a1 |
Quadratic twists by: -11 |