Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980h |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-2414187659520 = -1 · 28 · 313 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5516,-172680] |
[a1,a2,a3,a4,a6] |
Generators |
[370:6950:1] |
Generators of the group modulo torsion |
j |
-429090150736/55801305 |
j-invariant |
L |
4.2074789139493 |
L(r)(E,1)/r! |
Ω |
0.27499009452535 |
Real period |
R |
5.100158149081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70980m1 |
Quadratic twists by: 13 |