Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310l |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1267837683682500 = 22 · 310 · 54 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54513,-4612383] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:477:1] |
Generators of the group modulo torsion |
j |
152281858840201/10776442500 |
j-invariant |
L |
3.8582752725335 |
L(r)(E,1)/r! |
Ω |
0.31383845469659 |
Real period |
R |
3.0734564582928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999241684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2190f1 |
Quadratic twists by: -7 |