Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380ba |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
2.2882756155463E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521311908,-4581361650607] |
[a1,a2,a3,a4,a6] |
Generators |
[213694:98195625:1] |
Generators of the group modulo torsion |
j |
1343288006614139204356980736/19618275167578125 |
j-invariant |
L |
5.622774415986 |
L(r)(E,1)/r! |
Ω |
0.031595493542486 |
Real period |
R |
2.9660213035721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460d1 |
Quadratic twists by: -3 |