Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030c |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9753878534400 = 28 · 32 · 52 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13643,-600387] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:141:1] |
Generators of the group modulo torsion |
j |
280868533884397369/9753878534400 |
j-invariant |
L |
2.9657699074921 |
L(r)(E,1)/r! |
Ω |
0.44268360299385 |
Real period |
R |
0.83744063690036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090dz2 |
Quadratic twists by: -3 |