Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
2314b |
Isogeny class |
Conductor |
2314 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-34804874 = -1 · 2 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ -1 -1 3 0 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7,-281] |
[a1,a2,a3,a4,a6] |
Generators |
[69:544:1] |
Generators of the group modulo torsion |
j |
30080231/34804874 |
j-invariant |
L |
1.9816839620053 |
L(r)(E,1)/r! |
Ω |
0.96194151118734 |
Real period |
R |
0.34334796501977 |
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 |
18512k1 74048c1 20826be1 57850r1 |
Quadratic twists by: -4 8 -3 5 |