Atkin-Lehner |
2- 3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030z |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32316396108496500 = 22 · 3 · 53 · 74 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117156,12734769] |
[a1,a2,a3,a4,a6] |
Generators |
[641:13875:1] |
Generators of the group modulo torsion |
j |
177835127196092079169/32316396108496500 |
j-invariant |
L |
6.6389059100968 |
L(r)(E,1)/r! |
Ω |
0.35175034217689 |
Real period |
R |
2.3592393219188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090bu4 |
Quadratic twists by: -3 |