Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954bx |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
26627328 |
Modular degree for the optimal curve |
Δ |
-5.9851913437799E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 -7 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9673336,-38985562183] |
[a1,a2,a3,a4,a6] |
Generators |
[50245:11214301:1] |
Generators of the group modulo torsion |
j |
-2480676737722759927/14831862102884352 |
j-invariant |
L |
8.4294476789695 |
L(r)(E,1)/r! |
Ω |
0.038296482814503 |
Real period |
R |
1.4109630259524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999525767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954ck1 |
Quadratic twists by: -7 |