Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950cj |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8400 |
Product of Tamagawa factors cp |
deg |
70156800 |
Modular degree for the optimal curve |
Δ |
-6.0983424106805E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-486550463,-12578963252583] |
[a1,a2,a3,a4,a6] |
Generators |
[34132:3235309:1] |
Generators of the group modulo torsion |
j |
-815243522220777542426083369/3902939142835492884096000 |
j-invariant |
L |
13.142637307692 |
L(r)(E,1)/r! |
Ω |
0.014541254043378 |
Real period |
R |
0.10759730040213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390a1 |
Quadratic twists by: 5 |