Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070h |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
694272 |
Modular degree for the optimal curve |
Δ |
-142008471484880 = -1 · 24 · 5 · 72 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-376899,89030862] |
[a1,a2,a3,a4,a6] |
Generators |
[363:104:1] |
Generators of the group modulo torsion |
j |
-120837277295732778361/2898132071120 |
j-invariant |
L |
4.7723079949446 |
L(r)(E,1)/r! |
Ω |
0.53806999109309 |
Real period |
R |
0.27716584702929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70070p1 |
Quadratic twists by: -7 |