Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130cr |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
159667200 |
Modular degree for the optimal curve |
Δ |
1.4293272156519E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1355332455,6161706829725] |
[a1,a2,a3,a4,a6] |
Generators |
[7952993639319:-6139534223213566:13312053] |
Generators of the group modulo torsion |
j |
2340307834401386293150962529/1214908087320647991936000 |
j-invariant |
L |
11.008040346139 |
L(r)(E,1)/r! |
Ω |
0.028739928666565 |
Real period |
R |
12.767417834884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590u1 |
Quadratic twists by: -7 |