Atkin-Lehner |
2- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690bh |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
319872 |
Modular degree for the optimal curve |
Δ |
1184590000000 = 27 · 57 · 113 · 89 |
Discriminant |
Eigenvalues |
2- -3 5- -1 11+ -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2652,5151] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2649:1] [-49:149:1] |
Generators of the group modulo torsion |
j |
1549218522411/890000000 |
j-invariant |
L |
11.00885577392 |
L(r)(E,1)/r! |
Ω |
0.73941367235454 |
Real period |
R |
0.15192478473022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690q1 |
Quadratic twists by: -11 |