Atkin-Lehner |
2+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690q |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3518592 |
Modular degree for the optimal curve |
Δ |
2098573444990000000 = 27 · 57 · 119 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 11+ 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-320854,-5893772] |
[a1,a2,a3,a4,a6] |
Generators |
[817:16229:1] |
Generators of the group modulo torsion |
j |
1549218522411/890000000 |
j-invariant |
L |
3.2832668949084 |
L(r)(E,1)/r! |
Ω |
0.21796438618511 |
Real period |
R |
1.0759512997217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999707104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690bh1 |
Quadratic twists by: -11 |