Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960u |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
1.7367926068552E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23054075,42139129152] |
[a1,a2,a3,a4,a6] |
j |
719877522386433132544/9226558485703125 |
j-invariant |
L |
3.4584237604696 |
L(r)(E,1)/r! |
Ω |
0.12351514622608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280m1 |
Quadratic twists by: -7 |