Atkin-Lehner |
3- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114513p |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
362496 |
Modular degree for the optimal curve |
Δ |
-55991606693463 = -1 · 38 · 73 · 192 · 413 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6460,299991] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:439:1] |
Generators of the group modulo torsion |
j |
86920645786073/163240835841 |
j-invariant |
L |
2.6844546883747 |
L(r)(E,1)/r! |
Ω |
0.43224728518852 |
Real period |
R |
0.25876918434158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114513c1 |
Quadratic twists by: -7 |