Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310v |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-11125900800000 = -1 · 212 · 35 · 55 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34017,2406069] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-209:1] |
Generators of the group modulo torsion |
j |
-88845535718257129/227059200000 |
j-invariant |
L |
5.1652266734523 |
L(r)(E,1)/r! |
Ω |
0.72046512401644 |
Real period |
R |
0.71692945084385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310bb1 |
Quadratic twists by: -7 |