Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135i |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-2243030641747875 = -1 · 312 · 53 · 77 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20841,2562986] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1822:1] |
Generators of the group modulo torsion |
j |
-8509655351296/19065445875 |
j-invariant |
L |
3.7162551715432 |
L(r)(E,1)/r! |
Ω |
0.40966015354773 |
Real period |
R |
2.2678890901151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405bl1 4305l1 |
Quadratic twists by: -3 -7 |