Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
113760h |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-21299284800000 = -1 · 29 · 33 · 55 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3933,200726] |
[a1,a2,a3,a4,a6] |
Generators |
[517:11850:1] |
Generators of the group modulo torsion |
j |
486700537896/1540746875 |
j-invariant |
L |
6.9406479925323 |
L(r)(E,1)/r! |
Ω |
0.48070203486513 |
Real period |
R |
0.24064276459955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760bc1 113760ba1 |
Quadratic twists by: -4 -3 |