Atkin-Lehner |
2- 3+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236d |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
197760 |
Modular degree for the optimal curve |
Δ |
-1992252471552 = -1 · 28 · 33 · 7 · 175 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 5 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2241,54262] |
[a1,a2,a3,a4,a6] |
Generators |
[80806:856488:1331] |
Generators of the group modulo torsion |
j |
180071736336/288230971 |
j-invariant |
L |
10.007543943738 |
L(r)(E,1)/r! |
Ω |
0.56543359252386 |
Real period |
R |
8.8494423579231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999752099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236h1 |
Quadratic twists by: -3 |