Atkin-Lehner |
3+ 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10815f |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
97152 |
Modular degree for the optimal curve |
Δ |
230980517578125 = 38 · 511 · 7 · 103 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- -2 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-346780,-78482319] |
[a1,a2,a3,a4,a6] |
Generators |
[-2710:401:8] |
Generators of the group modulo torsion |
j |
4611976559150578978816/230980517578125 |
j-invariant |
L |
7.9506520019697 |
L(r)(E,1)/r! |
Ω |
0.19673754369089 |
Real period |
R |
1.8369308980732 |
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 |
32445j1 54075t1 75705u1 |
Quadratic twists by: -3 5 -7 |