Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3030f |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-10226250 = -1 · 2 · 34 · 54 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 4 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7,151] |
[a1,a2,a3,a4,a6] |
Generators |
[7:19:1] |
Generators of the group modulo torsion |
j |
-47045881/10226250 |
j-invariant |
L |
2.1552357190268 |
L(r)(E,1)/r! |
Ω |
1.8659378469245 |
Real period |
R |
0.1443801921497 |
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 |
24240bo1 96960bb1 9090t1 15150bn1 |
Quadratic twists by: -4 8 -3 5 |