Atkin-Lehner |
3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135s |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
13029170860125 = 32 · 53 · 710 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 4 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-24810,1502381] |
[a1,a2,a3,a4,a6] |
j |
5979172864/46125 |
j-invariant |
L |
4.2763019290693 |
L(r)(E,1)/r! |
Ω |
0.71271698817882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405u1 30135v1 |
Quadratic twists by: -3 -7 |