Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310ce |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
865871154779500800 = 28 · 38 · 52 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4494281,-3668831881] |
[a1,a2,a3,a4,a6] |
Generators |
[-1231:950:1] |
Generators of the group modulo torsion |
j |
85332829471914084481/7359783379200 |
j-invariant |
L |
6.8318159285975 |
L(r)(E,1)/r! |
Ω |
0.10368996933465 |
Real period |
R |
4.1179344307611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330bd1 |
Quadratic twists by: -7 |