Atkin-Lehner |
3- 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
118041h |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1374853155291 = -1 · 33 · 78 · 112 · 73 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11+ -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-102475,12592297] |
[a1,a2,a3,a4,a6] |
Generators |
[149:808:1] |
Generators of the group modulo torsion |
j |
-1011564293423104/11686059 |
j-invariant |
L |
5.707018477289 |
L(r)(E,1)/r! |
Ω |
0.77616602640059 |
Real period |
R |
0.61273600380322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16863b1 |
Quadratic twists by: -7 |