Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
107690b |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10999296 |
Modular degree for the optimal curve |
Δ |
-1.8492865286764E+23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11890794,-26023092724] |
[a1,a2,a3,a4,a6] |
Generators |
[6482493594859720087504285:135799485000650792346850833:1457334914839796837125] |
Generators of the group modulo torsion |
j |
-78853696894477259/78427801250000 |
j-invariant |
L |
3.1735611862561 |
L(r)(E,1)/r! |
Ω |
0.039080122454399 |
Real period |
R |
40.603265548773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107690v1 |
Quadratic twists by: -11 |