Atkin-Lehner |
29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31117g |
Isogeny class |
Conductor |
31117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
889952 |
Modular degree for the optimal curve |
Δ |
-19860282840964661 = -1 · 299 · 372 |
Discriminant |
Eigenvalues |
1 1 -3 -4 3 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9538640,11338285807] |
[a1,a2,a3,a4,a6] |
Generators |
[223205:-87276:125] |
Generators of the group modulo torsion |
j |
-6616084455917/1369 |
j-invariant |
L |
3.3792207778618 |
L(r)(E,1)/r! |
Ω |
0.30487892575971 |
Real period |
R |
2.7709530672228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31117f1 |
Quadratic twists by: 29 |