Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226i |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
27318910989888 = 26 · 38 · 77 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11148,372240] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-20:1] |
Generators of the group modulo torsion |
j |
1302528459961/232206912 |
j-invariant |
L |
4.4039310437217 |
L(r)(E,1)/r! |
Ω |
0.63483103966836 |
Real period |
R |
3.4685851577313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69678bw1 3318d1 |
Quadratic twists by: -3 -7 |