Atkin-Lehner |
3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120213d |
Isogeny class |
Conductor |
120213 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-34262150801751 = -1 · 39 · 196 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4264,-261494] |
[a1,a2,a3,a4,a6] |
Generators |
[1524:9911:27] |
Generators of the group modulo torsion |
j |
9261/37 |
j-invariant |
L |
2.2872155726263 |
L(r)(E,1)/r! |
Ω |
0.33158774520328 |
Real period |
R |
6.8977686969853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120213c1 333b1 |
Quadratic twists by: -3 -19 |