Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856m |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-2672374311936 = -1 · 210 · 37 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,968,78116] |
[a1,a2,a3,a4,a6] |
Generators |
[8:294:1] [-22:216:1] |
Generators of the group modulo torsion |
j |
97859073308/2609740539 |
j-invariant |
L |
7.8510340336259 |
L(r)(E,1)/r! |
Ω |
0.6079730817638 |
Real period |
R |
0.092238976046796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11928e1 95424bz1 71568o1 |
Quadratic twists by: -4 8 -3 |