Atkin-Lehner |
3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1911a |
Isogeny class |
Conductor |
1911 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-382431133539 = -1 · 36 · 79 · 13 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -2 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,229,-29800] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4630:1] |
Generators of the group modulo torsion |
j |
32768/9477 |
j-invariant |
L |
2.0150278680778 |
L(r)(E,1)/r! |
Ω |
0.44695280401942 |
Real period |
R |
1.1270920833009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576cx1 122304cy1 5733i1 47775cb1 |
Quadratic twists by: -4 8 -3 5 |