Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694co |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7185024 |
Modular degree for the optimal curve |
Δ |
-2.1180013221754E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1063774,-2254577005] |
[a1,a2,a3,a4,a6] |
Generators |
[19652595:7782499493:125] |
Generators of the group modulo torsion |
j |
-128667913/2047032 |
j-invariant |
L |
8.7031115379348 |
L(r)(E,1)/r! |
Ω |
0.062948159237375 |
Real period |
R |
11.521533127287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999017283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694w1 9438d1 |
Quadratic twists by: -11 13 |