Atkin-Lehner |
2- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454l |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-81705792484705312 = -1 · 25 · 74 · 1110 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- 5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-273604,56843911] |
[a1,a2,a3,a4,a6] |
Generators |
[283:1279:1] |
Generators of the group modulo torsion |
j |
-87329847033/3150112 |
j-invariant |
L |
10.697079040041 |
L(r)(E,1)/r! |
Ω |
0.34002327667991 |
Real period |
R |
3.1459843410785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69454j1 |
Quadratic twists by: -11 |