Atkin-Lehner |
3+ 5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415a |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-4551509221875 = -1 · 39 · 55 · 7 · 11 · 312 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3888,138719] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:418:1] |
Generators of the group modulo torsion |
j |
-330225942528/231240625 |
j-invariant |
L |
3.7139709264643 |
L(r)(E,1)/r! |
Ω |
0.71321288836316 |
Real period |
R |
1.3018451427891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999690454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107415c1 |
Quadratic twists by: -3 |