Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ec |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
3.7024595836928E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8403500,8907710000] |
[a1,a2,a3,a4,a6] |
Generators |
[1334:8448:1] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
6.8804430796128 |
L(r)(E,1)/r! |
Ω |
0.13792873194544 |
Real period |
R |
4.1570037549521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kb1 2450bd1 78400s1 78400dm1 |
Quadratic twists by: -4 8 5 -7 |