Atkin-Lehner |
3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135q |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
7322805 = 36 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -6 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-135,-547] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] [-54:23:8] |
Generators of the group modulo torsion |
j |
5594251264/149445 |
j-invariant |
L |
6.0800172377348 |
L(r)(E,1)/r! |
Ω |
1.402027541463 |
Real period |
R |
2.1682945084624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405o1 30135u1 |
Quadratic twists by: -3 -7 |